{"title":"Nonlinear science Books","description":"","products":[{"product_id":"chaos-9780192853783","title":"Chaos","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eChaos exists in systems all around us. Even the simplest system of cause and effect can be subject to chaos, denying us accurate predictions of its behaviour, and sometimes giving rise to astonishing structures of large-scale order. Our growing understanding of Chaos Theory is having fascinating applications in the real world - from technology to global warming, politics, human behaviour, and even gambling on the stock market.Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible maths and physics (replacing complex equations with simple examples like pendulums, railway lines, and tossing coins) to explain the theory, and points to numerous examples in philosophy and literature (Edgar Allen Poe, Chang-Tzu, Arthur Conan Doyle) that illuminate the problems. The beauty of fractal patterns and their relation to chaos, as well as the history of chaos, and its uses in the real world and implications for the philosophy of science are all discussed in this Very Short Introduction.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eLeonard Smith's Chaos (part of the Oxford Very Short Introduction series) will give you the clearest (but not too painful idea) of the maths involved... There's a lot packed into this little book, and for such a technical exploration it's surprisingly readble and enjoyable - I really wanted to keep turning the pages. Smith also has some excellent words of wisdom about common misunderstandings of chaos theory... One of the best books so far in this useful and informative series. * popularscience.co.uk *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface ; 1. The Emergence of Chaos ; 2. Exponential Growth, Nonlinearity, Common Sense ; 3. Chaos in Context: Determinism Randomness and Noise ; 4. Chaos in Mathematical Models ; 5. Fractals, Strange Attractors, and Dimension(s) ; 6. Quantifying the Dynamics of Uncertainty ; 7. Real numbers, Real Observations and Computers ; 8. Sorry, Wrong Number: Statistics and Chaos ; 9. Predictability: Does Chaos Constrain Our Forecasts? ; 10. Applied Chaos: Can We See Through Our Models? ; 11. Philosophy in Chaos ; Glossary ; Further Reading","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732596699479,"sku":"9780192853783","price":9.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780192853783.jpg?v=1791378661"},{"product_id":"complexity-9780199662548","title":"Complexity","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe importance of complexity is well-captured by Hawking''s comment: Complexity is the science of the 21st century. From the movement of flocks of birds to the Internet, environmental sustainability, and market regulation, the study and understanding of complex non-linear systems has become highly influential over the last 30 years.In this Very Short Introduction, one of the leading figures in the field, John Holland, introduces the key elements and conceptual framework of complexity. From complex physical systems such as fluid flow and the difficulties of predicting weather, to complex adaptive systems such as the highly diverse and interdependent ecosystems of rainforests, he combines simple, well-known examples -- Adam Smith''s pin factory, Darwin''s comet orchid, and Simon''s ''watchmaker'' -- with an account of the approaches, involving agents and urn models, taken by complexity theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Complex systems ; 2. Complex physical systems ; 3. Complex adaptive systems ; 4. Agents, networks, degree, and recirculation ; 5. Specialization and diversity ; 6. Emergence ; 7. Co-evolution and the formation of niches ; 8. Putting it all together ; Further reading ; Index","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732877717847,"sku":"9780199662548","price":9.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780199662548.jpg?v=1791378745"},{"product_id":"open-conformal-systems-and-perturbations-of-transfer-operators-9783319721781","title":"Open Conformal Systems and Perturbations of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero.  In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved.\u003c\/p\u003e  \u003cp\u003eThe asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. \u003c\/p\u003e  \u003cp\u003eTowards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Introduction.- 2. Singular Perturbations of Classical Original Perron–Frobenius Operators on Countable Alphabet Symbol Spaces.- 3. Symbol Escape Rates and the Survivor Set \u003ci\u003eK(U\u003c\/i\u003e\u003ci\u003e\u003csub\u003en\u003c\/sub\u003e\u003c\/i\u003e\u003ci\u003e).- 4. Escape Rates for Conformal GDMSs and IFSs.- 5. Applications: Escape Rates for Multimodal Maps\u003c\/i\u003e\u003ci\u003eand One-Dimensional Complex Dynamics.\u003c\/i\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743103168855,"sku":"9783319721781","price":35.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319721781.jpg?v=1720064124"},{"product_id":"introduction-to-nonlinear-control-9780691240480","title":"Introduction to Nonlinear Control","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865553711447,"sku":"9780691240480","price":63.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691240480.jpg?v=1722274532"},{"product_id":"a-students-guide-to-the-navierstokes-equations-9781009236164","title":"A Students Guide to the NavierStokes Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis Student's Guide provides a clear and focused explanation of the Navier-Stokes equations of fluid motion. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises. Video podcasts demonstrating the solutions are provided online, along with written solutions and other resources.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface; Acknowledgements; 1. Mass conservation and the continuity equation; 2. The material derivative: The first step to the Navier-Stokes equations; 3. Force balance, the stress tensor, and the Navier-Stokes equations; 4. The Navier-Stokes equations: Another approach; 5. The energy equation and a discussion on diffusion and advection; 6. Non-dimensionalalization and scaling; Further reading; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48866251637079,"sku":"9781009236164","price":20.81,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781009236164.jpg?v=1791379255"},{"product_id":"optimization-in-operations-research-9781292042473","title":"Optimization in Operations Research","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e \u003cbr\u003e \u003cb\u003e 1. Problem Solving with Mathematical Models.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 2. Deterministic Optimization Models in Operations Research.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 3. Improving Search.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 4. Linear Programming Models.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 5. Simplex Search for Linear Programming.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 6. Interior Point Methods for Linear Programming.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 7. Duality and Sensitivity in Linear Programming.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 8. Multiobjective Optimization and Goal Programming.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 9. Shortest Path and Discrete Dynamic Programming.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e10. Network Flows.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e11. Discrete Optimization Models.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e12. Discrete Optimization Methods.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e13. Unconstrained Nonlinear Programming.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e14. Constrained Nonlinear Programming.\u003c\/b\u003e \u003cbr\u003e","brand":"Pearson Education Limited","offers":[{"title":"Default Title","offer_id":48866511389015,"sku":"9781292042473","price":77.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781292042473.jpg?v=1722279008"},{"product_id":"nonlinear-dynamics-a-concise-introduction-interlaced-with-code-9783030910310","title":"Nonlinear Dynamics: A Concise Introduction","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePart I Introduction.- Dynamical Systems.- Non-Chaotic Continuous Dynamics.- Part II Methods.- Defining and Measuring Chaos.- Bifurcations and Routes to Chaos.- Entropy and Dimension.- Delay Coordinates.- Information Across Timeseries.- Part III Applications.- Billiards, Conservative Systems and Ergodicity.- Forced Oscillators and Synchronisation.- Networds, Agent-Based Models and Epidemics.- Extended Systems and Spatiotemporal Chaos.- Nonlinear Dynamics of Climate \u0026amp; Climate Change.\u003c\/p\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48869362172247,"sku":"9783030910310","price":31.86,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030910310.jpg?v=1791480559"},{"product_id":"nonlinear-periodic-waves-and-their-modulations-an-introductory-course-9789810244071","title":"Nonlinear Periodic Waves And Their Modulations:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAlthough the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion. The Whitham method, which describes the combining action of the dispersive and nonlinear effects as modulations of periodic waves, is not widely used by applied mathematicians and physicists, though it provides a direct and natural way to treat various problems in nonlinear wave theory. Therefore it is topical to describe recent developments of the Whitham theory in a clear and simple form suitable for applications in various branches of physics.This book develops the techniques of the theory of nonlinear periodic waves at elementary level and in great pedagogical detail. It provides an introduction to a Whitham's theory of modulation in a form suitable for applications. The exposition is based on a thorough analysis of representative examples taken from fluid mechanics, nonlinear optics and plasma physics rather than on the formulation and study of a mathematical theory. Much attention is paid to physical motivations of the mathematical methods developed in the book. The main applications considered include the theory of collisionless shock waves in dispersive systems and the nonlinear theory of soliton formation in modulationally unstable systems. Exercises are provided to amplify the discussion of important topics such as singular perturbation theory, Riemann invariants, the finite gap integration method, and Whitham equations and their solutions.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction and basic concepts; nonlinear wave equations in physics; Whitham theory of modulations; complete integrability of nonlinear wave equations; periodic solutions; dissipationless shock wave; nonlinear theory of modulational instability. Appendices: some formulas from the theory of elliptic functions; algebraic resolvents of fourth degree polynomials; solutions to exercises.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48869594235223,"sku":"9789810244071","price":96.9,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789810244071.jpg?v=1791483763"},{"product_id":"advances-in-nonlinear-dynamics-research-9781536107401","title":"Advances in Nonlinear Dynamics Research","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book provides new research on the advances in non-linear dynamics. Chapter One studies compactions in carbon nanotube arrays. Chapter Two reviews the elastic and plastic type behaviours in the Fractal Theory of Motion at nanoscale. Chapter Three analyses a particular model of tumour progression, assuming that the invasive cells, the connective tissue and the proteases are moving through a non-differential medium governed by the Non-Standard Scale Relativity Theory (NSRT) (Scale Relativity Theory with arbitrary constant fractal dimension). Chapter Four studies the process of drug release from a polymer matrix. Chapter Five examines the implications of drug release from a polymeric matrix process. Chapter Six reviews behaviours of travelling waves and Shapiro step types in a tumour-growth model. Chapter Seven discusses the astonishing evolutionary dynamics of a class of nonlinear discrete 2D pattern formations and growth models.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886054322519,"sku":"9781536107401","price":163.19,"currency_code":"GBP","in_stock":false}]},{"product_id":"nonlinearity-problems-solutions-applications-volume-2-9781536121636","title":"Nonlinearity: Problems, Solutions \u0026 Applications","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book provides research summaries from a number of different focuses in Mathematics, and compiles biographical sketches of top professionals in this important field.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886066446679,"sku":"9781536121636","price":195.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781536121636.jpg?v=1722538696"},{"product_id":"nonlinear-phenomena-research-perspectives-9781600215209","title":"Nonlinear Phenomena Research Perspectives","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eNon-linear, or chaotic behaviour in real world systems has been reported in electronic circuits and communications systems, chemical reactions, biological behaviour. Applications include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena. This book presents important new research in this dynamic field.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886598533463,"sku":"9781600215209","price":176.24,"currency_code":"GBP","in_stock":false}]},{"product_id":"new-nonlinear-phenomena-research-9781600219962","title":"New Nonlinear Phenomena Research","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book focuses on recent and significant research on non-linear, or chaotic behaviour which in real world systems has been reported in electronic circuits and communications systems, chemical reactions, biological behaviour. Applications include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886613344599,"sku":"9781600219962","price":63.74,"currency_code":"GBP","in_stock":false}]},{"product_id":"progress-in-nonlinear-analysis-research-9781604563597","title":"Progress in Nonlinear Analysis Research","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eNon-linear analysis is a broad, interdisciplinary field characterised by a mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This book presents recent and important research in the field.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886635200855,"sku":"9781604563597","price":129.74,"currency_code":"GBP","in_stock":false}]},{"product_id":"advances-in-nonlinear-waves-symbolic-computation-9781606922606","title":"Advances in Nonlinear Waves \u0026 Symbolic","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWith the rapid development of science and technology, the computer has become an important tool in many science fields. Particularly, symbolic computation, which is one of the most exciting and challenging areas. It has been applied in many sciences such as mathematics, physics, chemistry, biology, mechanics, engineering, etc., in particular, non-linear sciences ad complex sciences. Nowadays, many symbolic computation softwares have been used to deal with these problems. Up to now, there have existed many non-linear differential\/difference systems related to solitons and chaos in the non-linear science field. In order to understand these complex physical phenomena, it is important to research some of their basic properties. Because of the complexity of these non-linear systems, with the symbolic computation, this new book presents important research on non-linear differential\/difference systems, related to solitons and chaos as well as other non-linear sciences in views of constructive algorithms.","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886687859031,"sku":"9781606922606","price":86.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"bose-einstein-condensation-in-nonlinear-system-9781616687540","title":"Bose-Einstein Condensation in Nonlinear System","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886878241111,"sku":"9781616687540","price":39.74,"currency_code":"GBP","in_stock":false}]},{"product_id":"nonlinear-functional-analysis-applications-volume-2-9781619420601","title":"Nonlinear Functional Analysis \u0026 Applications:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886926639447,"sku":"9781619420601","price":86.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"nonlinear-functional-analysis-applications-volume-1-9781619420595","title":"Nonlinear Functional Analysis \u0026 Applications:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Nova Science Publishers Inc","offers":[{"title":"Default Title","offer_id":48886926737751,"sku":"9781619420595","price":65.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"new-memory-paradigms-memristive-phenomena-and-neuromorphic-applications-faraday-discussion-213-9781788015257","title":"New Memory Paradigms: Memristive Phenomena and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAtomically scaled “smart” devices, artificial intelligence, neuromorphic functions, alternative logic operations and computing, new memory storage paradigms, ultra-fast\/bio-inspired\/flexible\/transparent\/energy-efficient nanoelectronics – these contemporary concepts are driving forces for the progressive development of science and technology, mirroring societal expectations and solving its problems. Inspired by the concept of the memristor (memory + resistor), Redox-based resistive switching Random Access Memories (ReRAM) and Phase Change Memories (PCM) are thought capable of all these operations and functionalities. In addition, researchers aim to use these memristive systems to enable the fundamental properties of life, including order, plasticity, response to stimuli, metabolism, homeostasis, growth, and heredity or reproduction, based on the functionalities of biological systems.   This volume, which brings together experts from industry and academia, will cover the fundamentals as well as specific demands and limitations in e.g. materials selection, processing, suitable model systems, technical requirements and the potential device applications, providing a bridge for terminologies, theories, models, and applications.   The topics covered in this volume include:      Electrochemical metallization ReRAMs (ECM)  Valence change ReRAMs (VCM)   Phase-change memories (PCM)  Synaptic and neuromorphic functions\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eElectrochemical metallization ReRAMs (ECM); Valence change ReRAMs (VCM); Phase-change memories (PCM); Synaptic and neuromorphic functions","brand":"Royal Society of Chemistry","offers":[{"title":"Default Title","offer_id":48887843160407,"sku":"9781788015257","price":161.5,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781788015257.jpg?v=1791477508"},{"product_id":"potential-theory-in-matsue-proceedings-of-the-international-workshop-9784931469334","title":"Potential Theory In Matsue - Proceedings Of The","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis volume collects, in written form, eight plenary lectures and twenty-five selected contributions from invited and contributed lectures delivered at the International Workshop on Potential Theory 2004. The workshop was held at Shimane University, Matsue, Japan, from 23 to 28 August, 2004. The topic of the workshop was Potential Theory and its related fields. There were stimulus talks from classical potential theory to pluri-potential theory and probabilistic potential theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America","brand":"Mathematical Society of Japan","offers":[{"title":"Default Title","offer_id":48889420153175,"sku":"9784931469334","price":81.7,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9784931469334.jpg?v=1791482575"},{"product_id":"asymptotic-analysis-and-singularities-elliptic-and-parabolic-pdes-and-related-problems-proceedings-of-the-14th-msj-international-research-institute-9784931469419","title":"Asymptotic Analysis And Singularities: Elliptic","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis volume is the proceedings of the 14th MSJ International Research Institute “Asymptotic Analysis and Singularity”, which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eWeak KAM pairs and Monge-Kantorovich duality by P. Bernard and B. Buffoni Hydrodynamic limit and nonlinear PDEs with singularities by T. Funaki PDE and differential geometry in study of motion of elastic wires by N. Koiso Evolution of stable phases in forward-backward parabolic equations by C. Mascia, A. Terracina, and A. Tesei Analogies between superconductors and liquid crystals: Nucleation and critical fields by X.-B. Pan Method of the blowup envelope and applications by T. Suzuki Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves by C. Hirota, T. Ishiwata, and S. Yazaki On certain one-dimensional elliptic systems under different growth conditions at respective infinities by M. Iida, K. Nakashima, and E. Yanagida Stability analysis for a stripe solution in the Gierer-Meinhardt system by K. Ikeda Perturbation of structures of radial solutions to elliptic equations by Y. Kabeya On the bifurcation structure of positive stationary solutions for a competition-diffusion system by Y. Kan-on Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria by K. P. P. Htoo, M. Mimura, and I. Takagi Existence of standing waves for the nonlinear Schrodinger equation with double power nonlinearity and harmonic potential by H. Kikuchi The Hamiltonian formalism in reaction-diffusion systems by M. Kuwamura Speed estimate for a periodic rotating wave in an undulating zone on the sphere by B. Lou On the dynamical system of a parabolic equation with non-local term by T. Miyasita A variational approach to self-similar solutions for semilinear heat equations by Y. Naito Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion by W.-M. Ni, K. Suzuki, and I. Takagi Asymptotic form of solutions of the Tadjbakhsh-Odeh variational problem by S. Okabe Global existence of a reaction-diffusion-advection system by K. Osaki Blowup solutions to some systems related to biology by T. Senba On the role of the source terms in an activator-inhibitor system proposed by Gierer and Meinhardt by K. Suzuki and I. Takagi Concentration phenomena in the conformal Brezis-Nirenberg problem by F. Takahashi Interfacial analysis to a chemotaxis model equation with growth in three dimension by T. Tsujikawa.","brand":"Mathematical Society of Japan","offers":[{"title":"Default Title","offer_id":48889420349783,"sku":"9784931469419","price":48.45,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9784931469419.jpg?v=1791482575"},{"product_id":"engineering-approach-to-finite-element-analysis-of-linear-structural-mechanics-problems-9788232102686","title":"Engineering Approach to Finite Element Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Akademica Publishing","offers":[{"title":"Default Title","offer_id":48889780306263,"sku":"9788232102686","price":66.3,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9788232102686.jpg?v=1722555865"},{"product_id":"topics-in-bifurcation-theory-and-applications-2nd-edition-9789810237288","title":"Topics In Bifurcation Theory And Applications","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis textbook presents the most efficient analytical techniques in the local bifurcation theory of vector fields. It is centered on the theory of normal forms and its applications, including interaction with symmetries.The first part of the book reviews the center manifold reduction and introduces normal forms (with complete proofs). Basic bifurcations are studied together with bifurcations in the presence of symmetries. Special attention is given to examples with reversible vector fields, including the physical example given by the water waves. In this second edition, many problems with detailed solutions are added at the end of the first part (some systems being in infinite dimensions). The second part deals with the Couette-Taylor hydrodynamical stability problem, between concentric rotating cylinders. The spatial structure of various steady or unsteady solutions results directly from the analysis of the reduced system on a center manifold. In this part we also study bifurcations (simple here) from group orbits of solutions in an elementary way (avoiding heavy algebra). The third part analyzes bifurcations from time periodic solutions of autonomous vector fields. A normal form theory is developed, covering all cases, and emphasizing a partial Floquet reduction theory, which is applicable in infinite dimensions. Studies of period doubling as well as Arnold's resonance tongues are included in this part.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eCentre manifolds normal forms, and bifurcations of vector; fields near critical points - unperturbed vector fields; perturbed vector fields; Couette-Taylor problem - formulation of the problem; Couette flow; bifurcations from Couette flow; bifurcations from Taylor vortex flow; centre manifolds, normal forms, and bifurcations of vector; fields near closed orbits - preliminaries; adaptation of Floquet thoery; unperturbed case; perturbed case.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890169164119,"sku":"9789810237288","price":40.85,"currency_code":"GBP","in_stock":true}]},{"product_id":"dynamics-of-pattern-the-9789810240554","title":"Dynamics Of Pattern, The","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eSpirals, vortices, crystalline lattices, and other attractive patterns are prevalent in Nature. How do such beautiful patterns appear from the initial chaos? What universal dynamical rules are responsible for their formation? What is the dynamical origin of spatial disorder in nonequilibrium media? Based on the many visual experiments in physics, hydrodynamics, chemistry, and biology, this invaluable book answers those and related intriguing questions. The mathematical models presented for the dynamical theory of pattern formation are nonlinear partial differential equations. The corresponding theory is not so accessible to a wide audience. Consequently, the authors have made every attempt to synthesize long and complex mathematical calculations to exhibit the underlying physics. The book will be useful for final year undergraduates, but is primarily aimed at graduate students, postdoctoral fellows, and others interested in the puzzling phenomena of pattern formation.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePatterns - prelude to a dynamical description; linear stage of pattern formation; model equations; the Ginzburg-Landau equation; \"crystal\" formation; quasicrystals; breaking of order; localized patterns; spirals; patterns in oscillating soap films; patterns in colonies of micro-organisms; spatial disorder; patterns in chaotic media; epilogue - living matter and dynamic forms; a short guide to nonlinear dynamics; key experiments in pattern formation.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890169557335,"sku":"9789810240554","price":114.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789810240554.jpg?v=1791483759"},{"product_id":"methods-of-qualitative-theory-in-nonlinear-dynamics-part-ii-9789810240721","title":"Methods Of Qualitative Theory In Nonlinear","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eBifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book has been written to serve that unfulfilled need.Following the footsteps of Poincaré, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in the book have been developed only recently and have not yet appeared in textbook form.In keeping with the self-contained nature of the book, all the topics are developed with introductory background and complete mathematical rigor. Generously illustrated and written at a high level of exposition, this invaluable book will appeal to both the beginner and the advanced student of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eStructurally Stable Systems; Bifurcations of Dynamical Systems; The Behavior of Dynamical Systems on Stability Boundaries of Equilibrium States; The Behavior of Dynamical Systems on Stability Boundaries of Periodic Trajectories; Local Bifurcations on the Route Over Stability Boundaries; Global Bifurcations at the Disappearance of a Saddle-Node Equilibrium States and Periodic Orbits; Bifurcations of Homoclinic Loops of Saddle Equilibrium States; Safe and Dangerous Boundaries.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890169688407,"sku":"9789810240721","price":136.8,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789810240721.jpg?v=1791483759"},{"product_id":"hamiltonian-systems-and-celestial-mechanics-hamsys-98-proceedings-of-the-iii-international-symposium-9789810244637","title":"Hamiltonian Systems And Celestial Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics. The main topics are Arnold diffusion, central configurations, singularities in few-body problems, billiards, area-preserving maps, and geometrical mechanics. All papers in the volume went through the refereeing process typical of a mathematical research journal.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eThe rhomboidal charged four body problem, F. Alfaro and E. Perez-Chavela; planetary rings with shepherds, L. Benet and T.H. Seligman; low Reynolds number swimming in two dimensions, A. Cherman et al; 2-dimensional invariant Tori for the spatial isosceles 3-body problem, M. Corbera and J. Llibre; the global flow for the synodical spatial Kepler problem, M.P. Dantas and J. Llibre; unbounded growth of energy in periodic perturbations of geodesic flows of the torus, A. Delshams et al; splitting and Meinikov potentials in Hamiltonian systems, A. Delshams and P. Gutierrez; infinity manifolds of cubic polynomial Hamiltonian vector fields with 2 degrees of freedom, M. Falconi et al; relativistic corrections to elementary Galilean dynamics and deformations of Poisson brackets, R. Flores-Espinoza and Y.M. Vorobjev; heteroclinic phenomena in the Sitnikov problem, A. Garcia and E. Perez-Chavela); doubly-symmetric periodic solutions of Hill's lunar problem, R.C. Howison and K.R. Meyer; on practical stability regions for the motion of a small particle close to the equilateral points of the real earth-moon system, A. Jorba; variational methods for quasi-periodic solutions of partial differential equations, R. de la Llave; the splitting of invariant Lagrangian submanifolds - geometry and dynamics, J.-P. Marco; cross-sections in the planar N-body problem, C. McCord; existence of an additional first integral and completeness of the flow for Hamiltonian vector fields, J. Mucino-Raymundo; simplification of perturbed Hamiltonians through Lie transformations, J. Palacian and P. Yanguas; linear stability in the 1 + N-Gon relative equilibrium, G.E. Roberts; analytic continuation of circular and elliptic Kepler motion to the general 3-body problem, J. Soler; the phase space of finite systems, K.B. Wolf et al.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890170605911,"sku":"9789810244637","price":122.4,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789810244637.jpg?v=1791483763"},{"product_id":"nonlinear-waves-and-offshore-structures-9789810248857","title":"Nonlinear Waves And Offshore Structures","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe responses of offshore structures are significantly affected by steep nonlinear waves, currents and wind, leading to phenomena such as springing and ringing of TLPs, slow drift yaw motion of FPSOs and large oscillations of Spar platforms due to vortex shedding. Research has brought about significant progress in this field over the past few decades and introduced us to increasingly involved concepts and their diverse applicability. Thus, an in-depth understanding of steep nonlinear waves and their effects on the responses of offshore structures is essential for safe and effective designs.This book deals with analyses of nonlinear problems encountered in the design of offshore structures, as well as those that are of immediate practical interest to ocean engineers and designers. It presents conclusions drawn from recent research pertinent to nonlinear waves and their effects on the responses of offshore structures. Theories, observations and analyses of laboratory and field experiments are expounded such that the nonlinear effects can be clearly visualized.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eGaussian Processes and Wave Spectra; Propagation of Steady and Transient Large Linear Wave Groups; Nonlinear Wave Interaction; Laboratory Nonlinear Waves; Nonlinear Wave-Body Interaction; Volterra Input-Output Model; Universal Linear System Model for Nonlinear Loading, including Wave Impact; Numerical Wave Tank; Coupled Analysis of Nonlinear Responses of TLPs, FPSOs and Spar-Platform Systems; Fatigue Due to Non-Gaussian Forces.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890171654487,"sku":"9789810248857","price":63.65,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789810248857.jpg?v=1791483767"},{"product_id":"towards-a-nonlinear-quantum-physics-9789812382108","title":"Towards A Nonlinear Quantum Physics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe author of this book presents conceptual and experimental evidence showing that Heisenberg's uncertainty relations are not valid in all cases. Furthermore, he derives a more general set of uncertainty relations. The new relations result from the replacement of the Fourier nonlocal and nontemporal paradigm by wavelet local analysis. These results lead to a coherent and beautiful causal synthesis unifying quantum and classical physics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eComplementarity Principle and the Nonlocal Fourier Analysis; New Generation of Microscopes; Beyond Heisenberg's Uncertainty Relations; The Meaning of the Wave Function; Interference Without Superposition of the Wave Packets.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890195444055,"sku":"9789812382108","price":65.55,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789812382108.jpg?v=1791484008"},{"product_id":"analysis-and-control-of-complex-nonlinear-processes-in-physics-chemistry-and-biology-9789812705839","title":"Analysis And Control Of Complex Nonlinear","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eNonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temporal structures in dynamical systems far from equilibrium. Their analysis and possible control are intriguing and challenging aspects of the current research.The duality of fundamental and applied research is a focal point of its main attractivity and fascination. Basic topics and foundations are always linked to concrete and precise examples. Models and measurements of complex nonlinear processes evoke and provoke new fundamental questions that diversify and broaden the mathematical concepts and tools. In return, new mathematical approaches to modeling and analysis enlarge the scope and efficiency of applied research.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eNoise-Induced Effects in Excitable Systems with Local and Global Coupling (X R Sailer et al.); Spiral Wave Dynamics: Reaction and Diffusion versus Kinematics (B Fiedler et al.); Pattern Formation in Semiconductors Under the Influence of Time-Delayed Feedback Control and Noise (E Scholl et al.); Trapping of Phase Fronts and Twisted Spirals in Periodically Forced Oscillatory Media (O Rudzick \u0026amp; A S Mikhailov); Unified Approach to Feedback-Mediated Control of Spiral Waves in Excitable Media (V S Zykov \u0026amp; H Engel); Building Oscillations Bottom Up: Elemental Time Scales of intracellular Calcium Dynamics (R Thul \u0026amp; M Falcke); Synchronization of Complex Systems: Analysis and Control (M Rosenblum \u0026amp; A Pikovsky); Predator-Prey Oscillations, Synchronization and Pattern Formation in Ecological Systems (B Blasius \u0026amp; R Tonjes); and other papers.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890207928663,"sku":"9789812705839","price":154.85,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789812705839.jpg?v=1791484043"},{"product_id":"nonlinear-dynamics-of-piecewise-constant-systems-and-implementation-of-piecewise-constant-arguments-9789812818508","title":"Nonlinear Dynamics Of Piecewise Constant Systems","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePiecewise constant systems exist in widely expanded areas such as engineering, physics, and mathematics. Extraordinary and complex characteristics of piecewise constant systems have been reported in recent years. This book provides the methodologies for analyzing and assessing nonlinear piecewise constant systems on a theoretically and practically sound basis. Recently developed approaches for theoretically analyzing and numerically solving the nonlinear piecewise constant dynamic systems are reviewed. A new greatest integer argument with a piecewise constant function is utilized for nonlinear dynamic analyses and for establishing a novel criterion in diagnosing irregular and chaotic solutions from the regular solutions of a nonlinear dynamic system. The newly established piecewise constantization methodology and its implementation in analytically solving for nonlinear dynamic problems are also presented.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eFundamentals of Conventional and Piecewise Constant Systems; Preliminary Theorems and Techniques for Analysis of Nonlinear Piecewise Constant Systems; Piecewise Constant Dynamical Systems and Their Behavior; Analytical and Semi-Analytical Solution Development with Piecewise Constant Arguments; Numerical and Improved Semi-Analytical Approaches Implementing Piecewise Constant Arguments; Application of P-T Method on Multi-Degree-of-Freedom Nonlinear Dynamic Systems; Periodicity-Ratio and Its Application in Diagnosing Irregularities of Nonlinear Systems.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890214908247,"sku":"9789812818508","price":116.85,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789812818508.jpg?v=1791484062"},{"product_id":"nonlinear-workbook-the-chaos-fractals-cellular-automata-neural-networks-genetic-algorithms-gene-expression-programming-support-vector-machine-wavelets-hidden-markov-models-fuzzy-logic-with-c-java-and-symbolicc-programs-4th-edition-9789812818539","title":"Nonlinear Workbook, The: Chaos, Fractals,","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eNew Edition: The Nonlinear Workbook (6th Edition)The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail.The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 150 ready-to-run programs.The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in the book are part of e-learning and distance learning courses conducted by the International School for Scientific Computing, University of Johannesburg.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eNonlinear and Chaotic Maps; Time Series Analysis; Autonomous Systems in the Plane; Nonlinear Hamilton Systems; Nonlinear Dissipative Systems; Nonlinear Driven Systems; Controlling of Chaos; Synchronization of Chaos; Fractals; Cellular Automata; Solving Differential Equations; Neural Networks; Genetic Algorithms; Gene Expression Programming; Optimization; Discrete Wavelets; Discrete Hidden Markov Processes; Fuzzy Sets and Fuzzy Logic.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48890215006551,"sku":"9789812818539","price":64.6,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789812818539.jpg?v=1791484062"},{"product_id":"nonlinear-structures-and-systems-volume-1-proceedings-of-the-37th-imac-a-conference-and-exposition-on-structural-dynamics-2019-9783030123901","title":"Nonlinear Structures and Systems, Volume 1:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003eNonlinear Structures \u0026amp; Systems, Volume 1: Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics, 2019, \u003c\/i\u003ethe first volume of eight from the Conference brings together contributions to this important area of research and engineering.  The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on:\u003c\/p\u003e  \u003cp\u003eNonlinear Reduced-order Modeling\u003c\/p\u003e  \u003cp\u003eJointed Structures: Identification, Mechanics, Dynamics\u003c\/p\u003e  \u003cp\u003eExperimental Nonlinear Dynamics\u003c\/p\u003e  \u003cp\u003eNonlinear Model \u0026amp; Modal Interactions\u003c\/p\u003e  \u003cp\u003eNonlinear Damping\u003c\/p\u003e  \u003cp\u003eNonlinear Modeling \u0026amp; Simulation\u003c\/p\u003e  \u003cp\u003eNonlinearity \u0026amp; System Identification  \u003c\/p\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":49084748398935,"sku":"9783030123901","price":161.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030123901.jpg?v=1791480456"},{"product_id":"nonlinear-dynamics-and-chaos-9780471876847","title":"Nonlinear Dynamics and Chaos","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eSince the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos. This revised edition provides new material, including a glossary and bibliography, as well as a generous supplement of new figures and illustrations.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"... much more extensive than before.\" (\u003ci\u003eThe Mathematical Review\u003c\/i\u003e, March 2004)\u003c\/p\u003e \u003cp\u003e\"The fully updated second edition provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos.\" (\u003ci\u003eInternational Journal of Environmental Analytical Chemistry\u003c\/i\u003e, Vol.84, No.14 – 15, 10 – 20 December 2004)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface vi\u003c\/p\u003e \u003cp\u003ePreface to the First Edition xv\u003c\/p\u003e \u003cp\u003eAcknowledgements from the First Edition xxi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Historical background 1\u003c\/p\u003e \u003cp\u003e1.2 Chaotic dynamics in Duffing's oscillator 3\u003c\/p\u003e \u003cp\u003e1.3 Attractors and bifurcations 8\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I Basic Concepts of Nonlinear Dynamics\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 An overview of nonlinear phenomena 15\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Undamped, unforced linear oscillator 15\u003c\/p\u003e \u003cp\u003e2.2 Undamped, unforced nonlinear oscillator 17\u003c\/p\u003e \u003cp\u003e2.3 Damped, unforced linear oscillator 18\u003c\/p\u003e \u003cp\u003e2.4 Damped, unforced nonlinear oscillator 20\u003c\/p\u003e \u003cp\u003e2.5 Forced linear oscillator 21\u003c\/p\u003e \u003cp\u003e2.6 Forced nonlinear oscillator: periodic attractors 22\u003c\/p\u003e \u003cp\u003e2.7 Forced nonlinear oscillator: chaotic attractor 24\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Point attractors in autonomous systems 26\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 The linear oscillator 26\u003c\/p\u003e \u003cp\u003e3.2 Nonlinear pendulum oscillations 34\u003c\/p\u003e \u003cp\u003e3.3 Evolving ecological systems 41\u003c\/p\u003e \u003cp\u003e3.4 Competing point attractors 45\u003c\/p\u003e \u003cp\u003e3.5 Attractors of a spinning satellite 47\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Limit cycles in autonomous systems 50\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 The single attractor 50\u003c\/p\u003e \u003cp\u003e4.2 Limit cycle in a neural system 51\u003c\/p\u003e \u003cp\u003e4.3 Bifurcations of a chemical oscillator 55\u003c\/p\u003e \u003cp\u003e4.4 Multiple limit cycles in aeroelastic galloping 58\u003c\/p\u003e \u003cp\u003e4.5 Topology of two-dimensional phase space 61\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Periodic attractors in driven oscillators 62\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 The Poincare map 62\u003c\/p\u003e \u003cp\u003e5.2 Linear resonance 64\u003c\/p\u003e \u003cp\u003e5.3 Nonlinear resonance 66\u003c\/p\u003e \u003cp\u003e5.4 The smoothed variational equation 71\u003c\/p\u003e \u003cp\u003e5.5 Variational equation for subharmonics 72\u003c\/p\u003e \u003cp\u003e5.6 Basins ofattraction by mapping techniques 73\u003c\/p\u003e \u003cp\u003e5.7 Resonance ofa self-exciting system 76\u003c\/p\u003e \u003cp\u003e5.8 The ABC ofnonlinear dynamics 79\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Chaotic attractors in forced oscillators 80\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Relaxation oscillations and heartbeat 80\u003c\/p\u003e \u003cp\u003e6.2 The Birkhoff±Shaw chaotic attractor 82\u003c\/p\u003e \u003cp\u003e6.3 Systems with nonlinear restoring force 93\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Stability and bifurcations of equilibria and cycles 106\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Liapunov stability and structural stability 106\u003c\/p\u003e \u003cp\u003e7.2 Centre manifold theorem 109\u003c\/p\u003e \u003cp\u003e7.3 Local bifurcations of equilibrium paths 111\u003c\/p\u003e \u003cp\u003e7.4 Local bifurcations of cycles 123\u003c\/p\u003e \u003cp\u003e7.5 Basin changes at local bifurcations 126\u003c\/p\u003e \u003cp\u003e7.6 Prediction ofincipient instability 128\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II Iterated Maps as Dynamical Systems\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Stability and bifurcation of maps 135\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 135\u003c\/p\u003e \u003cp\u003e8.2 Stability of one-dimensional maps 138\u003c\/p\u003e \u003cp\u003e8.3 Bifurcations of one-dimensional maps 139\u003c\/p\u003e \u003cp\u003e8.4 Stability of two-dimensional maps 149\u003c\/p\u003e \u003cp\u003e8.5 Bifurcations of two-dimensional maps 156\u003c\/p\u003e \u003cp\u003e8.6 Basin changes at local bifurcations of limit cycles 158\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Chaotic behaviour of one- and two-dimensional maps 161\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 General outline 161\u003c\/p\u003e \u003cp\u003e9.2 Theory for one-dimensional maps 164\u003c\/p\u003e \u003cp\u003e9.3 Bifurcations to chaos 167\u003c\/p\u003e \u003cp\u003e9.4 Bifurcation diagram of one-dimensional maps 170\u003c\/p\u003e \u003cp\u003e9.5 He non map 174\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III Flows, Outstructures, and Chaos\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 The geometry of recurrence 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Finite-dimensional dynamical systems 183\u003c\/p\u003e \u003cp\u003e10.2 Types ofrecurrent behaviour 187\u003c\/p\u003e \u003cp\u003e10.3 Hyperbolic stability types for equilibria 195\u003c\/p\u003e \u003cp\u003e10.4 Hyperbolic stability types for limit cycles 200\u003c\/p\u003e \u003cp\u003e10.5 Implications ofhyperbolic structure 205\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 The Lorenz system 207\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 A model ofthermal convection 207\u003c\/p\u003e \u003cp\u003e11.2 First convective instability 209\u003c\/p\u003e \u003cp\u003e11.3 The chaotic attractor ofLorenz 214\u003c\/p\u003e \u003cp\u003e11.4 Geometry ofa transition to chaos 222\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 2 RoÈssler's band 229\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 The simply folded band in an autonomous system 229\u003c\/p\u003e \u003cp\u003e12.2 Return map and bifurcations 233\u003c\/p\u003e \u003cp\u003e12.3 Smale's horseshoe map 238\u003c\/p\u003e \u003cp\u003e12.4 Transverse homoclinic trajectories 243\u003c\/p\u003e \u003cp\u003e12.5 Spatial chaos and localized buckling 246\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Geometry of bifurcations 249\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Local bifurcations 249\u003c\/p\u003e \u003cp\u003e13.2 Global bifurcations in the phase plane 258\u003c\/p\u003e \u003cp\u003e13.3 Bifurcations of chaotic attractors 266\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV Applications in the Physical Sciences\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Subharmonic resonances of an offshore structure 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Basic equation and non-dimensional form 286\u003c\/p\u003e \u003cp\u003e14.2 Analytical solution for each domain 288\u003c\/p\u003e \u003cp\u003e14.3 Digital computer program 289\u003c\/p\u003e \u003cp\u003e14.4 Resonance response curves 290\u003c\/p\u003e \u003cp\u003e14.5 Effect of damping 294\u003c\/p\u003e \u003cp\u003e14.6 Computed phase projections 296\u003c\/p\u003e \u003cp\u003e14.7 Multiple solutions and domains ofattraction 298\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Chaotic motions of an impacting system 302\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Resonance response curve 302\u003c\/p\u003e \u003cp\u003e15.2 Application to moored vessels 306\u003c\/p\u003e \u003cp\u003e15.3 Period-doubling and chaotic solutions 306\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Escape from a potential well 313\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Introduction 313\u003c\/p\u003e \u003cp\u003e16.2 Analytical formulation 314\u003c\/p\u003e \u003cp\u003e16.3 Overview ofthe steady-state response 319\u003c\/p\u003e \u003cp\u003e16.4 The two-band chaotic attractor 324\u003c\/p\u003e \u003cp\u003e16.5 Resonance ofthe steady states 328\u003c\/p\u003e \u003cp\u003e16.6 Transients and basins ofattraction 333\u003c\/p\u003e \u003cp\u003e16.7 Homoclinic phenomena 340\u003c\/p\u003e \u003cp\u003e16.8 Heteroclinic phenomena 346\u003c\/p\u003e \u003cp\u003e16.9 Indeterminate bifurcations 352\u003c\/p\u003e \u003cp\u003eAppendix 359\u003c\/p\u003e \u003cp\u003eIllustrated Glossary 369\u003c\/p\u003e \u003cp\u003eBibliography 402\u003c\/p\u003e \u003cp\u003eOnline Resources 428\u003c\/p\u003e \u003cp\u003eIndex 429\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402681065815,"sku":"9780471876847","price":68.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471876847.jpg?v=1730481213"},{"product_id":"nonlinear-dynamics-and-chaos-2nd-edition-geometrical-methods-for-engineers-and-scientists-mathematics-9780471876458","title":"Nonlinear Dynamics and Chaos 2nd Edition","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eNonlinear dynamics and chaos involves the study of apparently random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences.This second edition covers the latest research conducted in this area.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"... much more extensive than before.\" (\u003ci\u003eThe Mathematical Review\u003c\/i\u003e, March 2004)\u003c\/p\u003e \u003cp\u003e\"The fully updated second edition provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos.\" (\u003ci\u003eInternational Journal of Environmental Analytical Chemistry\u003c\/i\u003e, Vol.84, No.14 – 15, 10 – 20 December 2004)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.\u003cbr\u003e \u003cbr\u003e Preface to the First Edition.\u003cbr\u003e \u003cbr\u003e Acknowledgements from the First Edition.\u003cbr\u003e \u003cbr\u003e Introduction \u003cbr\u003e \u003cbr\u003e  PART I: BASIC CONCEPTS OF NONLINEAR DYNAMICS \u003cbr\u003e \u003cbr\u003e  An overview of nonlinear phenomena \u003cbr\u003e \u003cbr\u003e  Point attractors in autonomous systems \u003cbr\u003e \u003cbr\u003e  Limit cycles in autonomous systems \u003cbr\u003e \u003cbr\u003e  Periodic attractors in driven oscillators \u003cbr\u003e \u003cbr\u003e  Chaotic attractors in forced oscillators \u003cbr\u003e \u003cbr\u003e  Stability and bifurcations of equilibria and cycles \u003cbr\u003e \u003cbr\u003e  PART II ITERATED MAPS AS DYNAMICAL SYSTEMS \u003cbr\u003e \u003cbr\u003e  Stability and bifurcation of maps \u003cbr\u003e \u003cbr\u003e  Chaotic behaviour of one-and two-dimensional maps \u003cbr\u003e \u003cbr\u003e  PART III FLOWS, OUTSTRUCTURES AND CHAOS \u003cbr\u003e \u003cbr\u003e  The Geometry of Recurrence \u003cbr\u003e \u003cbr\u003e  The Lorenz system \u003cbr\u003e \u003cbr\u003e  Rosslers band \u003cbr\u003e \u003cbr\u003e  Geometry of bifurcations \u003cbr\u003e \u003cbr\u003e  PART IV APPLICATIONS IN THE PHYSICAL SCIENCES \u003cbr\u003e \u003cbr\u003e  Subharmonic resonances of an offshore structure \u003cbr\u003e \u003cbr\u003e  Chaotic motions of an impacting system \u003cbr\u003e \u003cbr\u003e  Escape from a potential well \u003cbr\u003e \u003cbr\u003e  Appendix.\u003cbr\u003e \u003cbr\u003e  Illustrated Glossary.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Online Resource.\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402681164119,"sku":"9780471876458","price":203.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471876458.jpg?v=1730481214"},{"product_id":"nonlinear-filters-for-image-processing-9780780353855","title":"Nonlinear Filters for Image Processing","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis text covers key mathematical principles and algorithms for nonlinear filters used in image processing. It offers insight into the underlying mathematical and filter design methodologies needed to construct and use nonlinear filters in a variety of applications.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.\u003cbr\u003e \u003cbr\u003e Logical Image Operators (E. Dougherty \u0026amp; J. Barrera).\u003cbr\u003e \u003cbr\u003e Computational Gray-Scale Operators (E. Dougherty \u0026amp; J. Barrera).\u003cbr\u003e \u003cbr\u003e Translation-Invariant Set Operators (E. Dougherty).\u003cbr\u003e \u003cbr\u003e Granulometric Filters (E. Dougherty \u0026amp; Y. Chen)\u003cbr\u003e \u003cbr\u003e Easy Recipes for Morphological Filters (H. Heijmans).\u003cbr\u003e \u003cbr\u003e Introduction to Connected Operators (H. Heijmans).\u003cbr\u003e \u003cbr\u003e Representation and Optimization of Stack Filters (J. Astola \u0026amp; P. Kuosmanen).\u003cbr\u003e \u003cbr\u003e Invariant Signals of Median and Stack Filters (J. Astola \u0026amp; P. Kuosmanen).\u003cbr\u003e \u003cbr\u003e Binary Polynomial Transforms and Logical Correlation (K. Egiazarian, et al.).\u003cbr\u003e \u003cbr\u003e Applications of Binary Polynomial Transforms (K. Egiazarian, et al.).\u003cbr\u003e \u003cbr\u003e Random Sets in View of Image Filtering Applications (I. Molchanov).\u003cbr\u003e \u003cbr\u003e Index.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49404991013207,"sku":"9780780353855","price":154.76,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780780353855.jpg?v=1730488300"},{"product_id":"physics-of-nonlinear-optics-9783030739812","title":"Physics of Nonlinear Optics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe book is designed to serve as a textbook for courses offered to upper-undergraduate students enrolled in physics. The first edition of this book was published in 2014. As there is a demand for the next edition, it is quite natural to take note of the several advances that have occurred in the subject over the past five years and to decide which of these are appropriate for inclusion at the textbook level, given the fundamental nature and the significance of the subject area. This is the prime motivation for bringing out a revised second edition. Among the newer mechanisms and materials, the book introduces the super-continuum generation, which arises from an excellent interplay of the various mechanisms of optical nonlinearity. The topics covered in this book are quantum mechanics of nonlinear interaction of matter and radiation, formalism and phenomenology of nonlinear wave mixing processes, optical phase conjugation and applications, self-focusing and self-phase modulation and their role in pulse modification, nonlinear absorption mechanisms, and optical limiting applications, photonic switching and bi-stability, and physical mechanisms leading to a nonlinear response in a variety of materials. This book has emerged from an attempt to address the requirement of presenting the subject at the college level. This textbook includes rigorous features such as the elucidation of relevant basic principles of physics; a clear exposition of the ideas involved at an appropriate level; coverage of the physical mechanisms of non-linearity; updates on physical mechanisms and emerging photonic materials and emphasis on the experimental study of nonlinear interactions. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in physics and related courses.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003e1 From Optics to Photonics \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e1.1 The Charm and Challenge of Modern Optics                                           \u003c\/p\u003e  \u003cp\u003e1.2 The Nature of Optical Non-linearity                                              \u003c\/p\u003e  \u003cp\u003e1.3 Overcoming the \u003ci\u003eMaterials Bottleneck\u003c\/i\u003e\u003c\/p\u003e  \u003cp\u003e1.4 The Expanding Frontiers                                                  \u003c\/p\u003e  \u003cp\u003e1.5 Problems and Prospects \u003c\/p\u003e  \u003cp\u003e1.6 Explorations\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e2 A Phenomenological View of Nonlinear Optics \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e2.1 Optics in the Nonlinear World \u003c\/p\u003e  \u003cp\u003e2.1.1 Introduction \u003c\/p\u003e  \u003cp\u003e2.1.2 First Order Susceptibility\u003c\/p\u003e  \u003cp\u003e2.1.3 Second Order Susceptibility\u003c\/p\u003e  \u003cp\u003e2.1.4 Third Order Susceptibility\u003c\/p\u003e  \u003cp\u003e2.2 Time Domain Response \u003c\/p\u003e  \u003cp\u003e2.2.1 First Order Polarization- Time Domain Response \u003c\/p\u003e  \u003cp\u003e2.2.2 Second Order Polarization - Time Domain Response \u003c\/p\u003e  \u003cp\u003e2.3 Frequency Domain Response \u003c\/p\u003e  \u003cp\u003e2.3.1 First Order Susceptibility \u003c\/p\u003e  \u003cp\u003e2.3.2 Second Order Susceptibility \u003c\/p\u003e  \u003cp\u003e2.3.3 General Order (n) Susceptibility \u003c\/p\u003e  \u003cp\u003e2.4 The nth order polarization \u003c\/p\u003e  \u003cp\u003e2.5 Monochromatic Waves \u003c\/p\u003e  \u003cp\u003e2.6 Calculation of the Factor K \u003c\/p\u003e  \u003cp\u003e2.6.1 Optical Rectification \u003c\/p\u003e  \u003cp\u003e2.6.2 Second Harmonic Generation \u003c\/p\u003e  \u003cp\u003e2.6.3 Pockels Effect \u003c\/p\u003e  \u003cp\u003e2.6.4 Frequency Mixing : Sum and Difference Frequency generation \u003c\/p\u003e  \u003cp\u003e2.6.5 Third Harmonic Generation \u003c\/p\u003e  \u003cp\u003e2.6.6 Nondegenerate Four Wave Mixing \u003c\/p\u003e  \u003cp\u003e2.7 Explorations\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e\u003cb\u003e3. Symmetry and Susceptibility\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e3.1 Introduction \u003c\/p\u003e  \u003cp\u003e3.2 Crystal Symmetry and Susceptibility Tensors \u003c\/p\u003e  \u003cp\u003e3.2.1 Neumann Principle \u003c\/p\u003e  \u003cp\u003e3.2.2 Symmetry of Second Order Susceptibility \u003c\/p\u003e  \u003cp\u003e3.2.3 Second Harmonic Generation \u003c\/p\u003e  \u003cp\u003e3.2.4 Kleinmann Symmetry \u003c\/p\u003e  \u003cp\u003e3.2.5 Symmetry of Third Order Susceptibility \u003c\/p\u003e  \u003cp\u003e3.3 The Dielectric Permittivity Tensor \u003c\/p\u003e  \u003cp\u003e3.4 The Refractive Index Ellipsoid \u003c\/p\u003e  \u003cp\u003e3.5 Explorations\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e4 Calculation of Non-linear Susceptibilities \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e4.1 Introduction \u003c\/p\u003e  \u003cp\u003e4.1.1 Physical Quantities in Quantum Physics \u003c\/p\u003e  \u003cp\u003e4.1.2 The Projection Operator \u003c\/p\u003e  \u003cp\u003e4.2 The Equation of Motion \u003c\/p\u003e  \u003cp\u003e4.3 Ensembles of Particles \u003c\/p\u003e  \u003cp\u003e4.4 Time-dependent Perturbation \u003c\/p\u003e  \u003cp\u003e4.5 Dipolar Interaction \u003c\/p\u003e  \u003cp\u003e4.6 First Order Density Matrix \u003c\/p\u003e  \u003cp\u003e4.7 Second Order Density Matrix \u003c\/p\u003e  \u003cp\u003e4.8 Third order Density Matrix \u003c\/p\u003e  \u003cp\u003e4.9 Double Integrals in the Expressions for the Density Matrix \u003c\/p\u003e  \u003cp\u003e4.10 Second Harmonic Susceptibility \u003c\/p\u003e  \u003cp\u003e4.11 Relaxation Effects \u003c\/p\u003e  \u003cp\u003e4.12 Applications to Color Centers \u003c\/p\u003e  \u003cp\u003e4.12.1 Third Order Susceptibility \u003c\/p\u003e  \u003cp\u003e4.12.3 Second Order Susceptibility \u003c\/p\u003e  \u003cp\u003e4.13. Explorations\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e5 Nonlinear Wave Mixing Processes \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e5.1 Introduction \u003c\/p\u003e  \u003cp\u003e5.2 Elements of Electromagnetism \u003c\/p\u003e  \u003cp\u003e5.3 Travelling Electromagnetic Waves in Free Space \u003c\/p\u003e  \u003cp\u003e5.3.1 Energy Density in the Travelling Wave \u003c\/p\u003e  \u003cp\u003e5.4 Propagation of Electromagnetic Waves in Linear Materials \u003c\/p\u003e  \u003cp\u003e5.5 Propagation of Electromagnetic Waves in Nonlinear Materials \u003c\/p\u003e  \u003cp\u003e5.5.1 The Wave Equation \u003c\/p\u003e  \u003cp\u003e5.5.2 Energy Transfer Rate \u003c\/p\u003e  \u003cp\u003e5.6 Three Wave Mixing \u003c\/p\u003e  \u003cp\u003e5.6.1 An Approximation \u003c\/p\u003e  \u003cp\u003e5.7 Second Harmonic Generation \u003c\/p\u003e  \u003cp\u003e5.7.1 Phase Matching Schemes \u003c\/p\u003e  \u003cp\u003e5.7.2 Accurate Treatment of Second Harmonic Generation \u003c\/p\u003e  \u003cp\u003e5.8 Explorations\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e6 Optical Phase Conjugation and \u003c\/b\u003e\u003cb\u003eBi-stability\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e6.1 Optical Phase Conjugation \u003c\/p\u003e  6.1.1 Phase Conjugation as Time reversal \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.1.2 Phase Conjugation through Four-wave-mixing \u003c\/p\u003e  \u003cp\u003e6.1.3 Practical Realization \u003c\/p\u003e  \u003cp\u003e6.1.4 The Peculiar Properties of the Phase Conjugate Beam \u003c\/p\u003e  \u003cp\u003e6.1.5 The Grating Picture \u003c\/p\u003e  \u003cp\u003e6.1.6 Applications of Phase Conjugation \u003c\/p\u003e  \u003cp\u003e6.2 Optical Bi-stability and Photonic Switching \u003c\/p\u003e  \u003cp\u003e6.2.1 Refractive Index at High Intensities : An Overview \u003c\/p\u003e  6.2.2. Fabry-Perot Etalon\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.2.2 Photonic Switching in a Nonlinear Fabry-Perot Etalon \u003c\/p\u003e  \u003cp\u003e6.3 Explorations \u003c\/p\u003e  \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e7 Self Focusing, Phase Modulation and Pulse Shaping \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e7.1 Self Focusing of Light \u003c\/p\u003e  7.1.1 The Concept of Self Focusing \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e7.1.2 Self Trapping and Spatial Solitons\u003c\/p\u003e  \u003cp\u003e7.1.3 The z-Scan Experiment \u003c\/p\u003e  \u003cp\u003e7.1.4  Analysis of the z-scan trace \u003c\/p\u003e  \u003cp\u003e7.1.5 Measurement of Nonlinear Optical Absorption \u003c\/p\u003e  7.1.6 Mechanisms of Nonlinear Absorption \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e7.2 Self Phase Modulation \u003c\/p\u003e  \u003cp\u003e7.3 Pulse Shaping and Optical Soliton Propagation \u003c\/p\u003e  7.3.1 Solitary Waves and Optical Solitons \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e7.4 Explorations\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e8 Materials and Mechanisms \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e8.1 Introduction\u003c\/p\u003e  \u003cp\u003e8.2 Mechanisms of Non-linearity \u003c\/p\u003e  8.2.1 Anharmonicity of Potential \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e8.2.2 Thermal Mechanism \u003c\/p\u003e  \u003cp\u003e8.2.3 Orientational Mechanism \u003c\/p\u003e  8.2.4 Inelastic Photon Scattering \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e8.2.5 Photorefractivity \u003c\/p\u003e  \u003cp\u003e8.2.6 Saturable Absorption \u003c\/p\u003e  8.2.7 Band Gap Distortion (Franz-Keldysh Effect) \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e8.2.8 Band filling Mechanism \u003c\/p\u003e  \u003cp\u003e8.2.9 Non-parabolicity of Bands \u003c\/p\u003e  \u003cp\u003e8.2.10 Delocalization of Electrons \u003c\/p\u003e  \u003cp\u003e8.3 A Perspective on Newer Materials and Mechanisms \u003c\/p\u003e  \u003cp\u003e8.3.1 Low Dimensional Materials\u003c\/p\u003e  \u003cp\u003e8.3.2 Photonic Bandgap Materials\u003c\/p\u003e  \u003cp\u003e8.3.3 \u003ci\u003eSlowing\u003c\/i\u003e of light and the effect on non-linearity\u003c\/p\u003e  8.3.4  Super-continuum Generation\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e8.4 Explorations\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e\u003cb\u003e9. Basics of \u003c\/b\u003e\u003cb\u003eMulti-photon\u003c\/b\u003e\u003cb\u003e Microscopy\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e9.1 Introduction\u003c\/p\u003e  9.2. Techniques for Bio-imaging with High resolution\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e9.2.1 Fluorescence Microscopy\u003c\/p\u003e  \u003cp\u003e9.2.2  Confocal Scanning Microscopy\u003c\/p\u003e  \u003cp\u003e9.3. 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This second edition includes additional material and in particular a new chapter on dissipative nonlinear systems. The book provides a thorough and modern introduction to the concepts of dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It is based on lectures on classical and quantum chaos held by the author at Heidelberg and Parma University. The book contains exercises and worked examples, which make it ideal for an introductory course for students as well as for researchers starting to work in the field.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- Fundamental terminology.- Complexity.-  Classical versus quantum dynamics.- Problems.-  References.- Dynamical systems.- Evolution law.- One-dimensional maps.- Problems.- References.- Nonlinear Hamiltonian systems.- Integrable examples.- Hamiltonian formalism.- Important techniques in the Hamiltonian formalism.- Integrable systems.- Non-integrable systems.- Perturbation of low-dimensional  systems.- Canonical perturbation theory.- Transition to chaos in Hamiltonian systems.- Criteria for local and global chaos.- Appendix.- Problems.- References.- \u003cbr\u003eDissipative systems - Introduction - Fixed points - Fixed point scenarios in two dimensional systems - Damped Oscillators - Harmonic oscillator - Nonlinear oscillators - Nonlinear damping - Poincaré-Bendixson Theorem - Damped forced oscillators - Driven one-Dimensional harmonic oscillator - Duffing oscillator - Lorenz model for turbulence - Fractals - Simple examples - Box-counting dimension - Examples from nature - Bifurcation scenarios - Examples of pitchfork bifurcations - Tangent bifurcations - Transcritical bifurcations - Higher-order bifurcations - Hopft bifurcations - Intermittency - Coupled Oscillators - Synchronisation - Kuramoto model - Increasing complexity - Problems - References. -\u003cbr\u003eAspects of quantum chaos.- Introductory remarks on quantum mechanics.- Semiclassical quantization of integrable systems.- Semiclassical description of non-integrable systems.- Wave functions in phase space.- Anderson and dynamical localization.- Universal level statistics.- Concluding remarks.- Appendix.- Problems.- References.- Index.\u003cbr\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":49415674888535,"sku":"9783031013096","price":49.49,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031013096.jpg?v=1791480597"},{"product_id":"dynamical-zeta-functions-and-dynamical-determinants-for-hyperbolic-maps-a-functional-approach-9783319776606","title":"Dynamical Zeta Functions and Dynamical","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer operators.\u003c\/p\u003e  \u003cp\u003eIn the hyperbolic case, the first key step consists in constructing a suitable Banach space of anisotropic distributions. The first part of the book is devoted to the easier case of expanding endomorphisms, showing how the (isotropic) function spaces relevant there can be studied via Paley–Littlewood decompositions, and allowing easier access to the construction of the anisotropic spaces which is performed in the second part.\u003c\/p\u003e  \u003cp\u003eThis is the first book describing the use of anisotropic spaces in dynamics. Aimed at researchers and graduate students, it presents results and techniques developed since the beginning of the twenty-first century.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“I highly recommend this book for graduate students, researchers interested in the modern developments of dynamical systems theory and quantum chaos. This Fourier analytic approach has already had a deep impact on the subject and is now used widely in other related fields.” (Frédéric Naud, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 122, 2020)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e​1 Introduction.- Part I Smooth expanding maps.- 2 Smooth expanding maps: The spectrum of the transfer operator.- 3 Smooth expanding maps: Dynamical determinants.- Part II Smooth hyperbolic maps.- 4 Anisotropic Banach spaces dened via cones.- 5 A variational formula for the essential spectral radius.- 6 Dynamical determinants for smooth hyperbolic dynamics.- 7 Two applications of anisotropic spaces.- Part III Appendices.- A Spectral theory.- B Thermodynamic formalism: Non-multiplicative topological pressure.- C Properly supported operators (pseudolocality).- D Alternative proofs for C1 dynamics and weights.- References.- Index.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":49417097740631,"sku":"9783319776606","price":98.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"einfuhrung-in-die-biokybernetik-9783112717967","title":"Einführung in Die Biokybernetik","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"de Gruyter","offers":[{"title":"Default Title","offer_id":49537215005015,"sku":"9783112717967","price":134.09,"currency_code":"GBP","in_stock":false}]},{"product_id":"methoden-und-programme-zur-berechnung-chemischer-reaktoren-metody-i-programmy-dlja-ras269eta-chimi269eskich-reaktorov-9783112733448","title":"Methoden Und Programme Zur Berechnung Chemischer","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"de Gruyter","offers":[{"title":"Default Title","offer_id":49537239548247,"sku":"9783112733448","price":134.09,"currency_code":"GBP","in_stock":false}]},{"product_id":"ganzheit-und-entwicklung-in-kybernetischer-sicht-9783112757062","title":"Ganzheit und Entwicklung in kybernetischer Sicht","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"de Gruyter","offers":[{"title":"Default Title","offer_id":49537251213655,"sku":"9783112757062","price":134.09,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783112757062.jpg?v=1791481586"},{"product_id":"fragen-der-kybernetik-in-biologie-und-medizin-9783112763629","title":"Fragen Der Kybernetik in Biologie Und Medizin","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"de Gruyter","offers":[{"title":"Default Title","offer_id":49537261175127,"sku":"9783112763629","price":134.09,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783112763629.jpg?v=1791481592"},{"product_id":"adaptive-learning-methods-for-nonlinear-system-modeling-9780128129760","title":"Adaptive Learning Methods for Nonlinear System","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"This book is a joint work of an excellent international team of scientists working in the field of nonlinear signal processing and, in particular, designing adaptive filtering algorithms utilized in system identification and nonlinear system modeling.\"--Mathematical Reviews Clippings\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Introduction   PART I – LINEAR-IN-THE-PARAMETERS NONLINEAR FILTERS 2. Orthogonal LIP Nonlinear Filters 3. Spline Adaptive Filters: Theory and Applications 4. Recent Advances on LIP Nonlinear Filters and Their Applications: Efficient Solutions and Significance Aware Filtering   PART II – ADAPTIVE ALGORITHMS IN THE REPRODUCING KERNEL HILBERT SPACE 5. Maximum Correntropy Criterion Based Kernel Adaptive Filters 6. Kernel Subspace Learning for Pattern Classification 7. A Random Fourier Features Perspective of KAFs with Application to Distributed Learning over Networks 8. Kernel-based Inference of Functions over Graphs   PART III – NONLINEAR MODELING WITH MULTIPLE LEARNING MACHINES 9. Online Nonlinear Modeling via Self-Organizing Trees 10. Adaptation and Learning Over Networks for Nonlinear System Modeling 11. Cooperative Filtering Architectures for Complex Nonlinear Systems   PART IV – NONLINEAR MODELING BY NEURAL NETWORKS 12. Echo State Networks for Multidimensional Data: Exploiting Noncircularity and Widely Linear Models 13. Identification of Short-Term and Long-Term Functional Synaptic Plasticity from Spiking Activities 14. Adaptive H8 Tracking Control of Nonlinear Systems using Reinforcement Learning 15. Adaptive Dynamic Programming for Optimal Control of Nonlinear Distributed Parameter Systems","brand":"Elsevier Science","offers":[{"title":"Default Title","offer_id":49874795725143,"sku":"9780128129760","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"nonlinear-waves-hamiltonian-systems-9780192843241","title":"Nonlinear Waves  Hamiltonian Systems","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":49881519325527,"sku":"9780192843241","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"topics-in-nonlinear-functional-analysis-9780821828199","title":"Topics in Nonlinear Functional Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIntroduces the notion of topological degree and develops its basic properties. This book uses these properties in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz's global bifurcation theorem. It is suitable as a graduate level textbook and a supplementary course text.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eextremely stimulating Zentralblatt fur Mathematik\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eTopological approach: Finite dimensions Topological degree in Banach space Bifurcation theory Further topological methods Monotone operators and the min-max theorem Generalized implicit function theorems Bibliography.","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":49963646353751,"sku":"9780821828199","price":25.6,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780821828199.jpg?v=1739084862"},{"product_id":"geometric-nonlinear-functional-analysis-volume-1-9780821808351","title":"Geometric Nonlinear Functional Analysis Volume 1","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePresents a systematic and unified study of geometric nonlinear functional analysis. This book presents a study of uniformly continuous and Lipschitz functions between Banach spaces, which leads naturally also to the classification of Banach spaces and of their important subsets (mainly spheres) in the uniform and Lipschitz categories.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction Retractions, extensions and selections Retractions, extensions and selections (special topics) Fixed points Differentiation of convex functions The Radon-Nikodym property Negligible sets and Gateaux differentiability Lipschitz classification of Banach spaces Uniform embeddings into Hilbert space Uniform classification of spheres Uniform classification of Banach spaces Nonlinear quotient maps Oscillation of uniformly continuous functions on unit spheres of finite-dimensional subspaces Oscillation of uniformly continuous functions on unit spheres of infinite-dimensional subspaces Perturbations of local isometries Perturbations of global isometries Twisted sums Group structure on Banach spaces Appendices Bibliography Index.","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":49963661295959,"sku":"9780821808351","price":77.9,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780821808351.jpg?v=1739085350"},{"product_id":"elements-of-applied-bifurcation-theory-9783031220067","title":"Elements of Applied Bifurcation Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProviding readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1 Introduction to Dynamical Systems.- 2 Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems.- 3 One-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems.- 4 One-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems.- 5 Bifurcations of Equilibria and Periodic Orbits in n-Dimensional Dynamical Systems.- 6 Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria.- 7 Other One-Parameter Bifurcations in Continuous-Time Dynamical Systems.- 8 Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems.- 9 Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems.- 10 Numerical Analysis of Bifurcations.- A Basic Notions from Algebra, Analysis, and Geometry.- A.1 Algebra.- A.1.1 Matrices.- A.1.2 Vector spaces and linear transformations.- A.1.3 Eigenvectors and eigenvalues.- A.1.4 Invariant subspaces, generalized eigenvectors, and Jordan normal form.- A.1.5 Fredholm Alternative Theorem.- A.1.6 Groups.- A.2 Analysis.- A.2.1 Implicit and Inverse Function Theorems.- A.2.2 Taylor expansion.- A.2.3 Metric, normed, and other spaces.- A.3 Geometry.- A.3.1 Sets.- A.3.2 Maps.- A.3.3 Manifolds.- References.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":50470476874071,"sku":"9783031220067","price":125.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031220067.jpg?v=1791480646"},{"product_id":"dynamical-systems-with-applications-using-python-9783319781440","title":"Dynamical Systems with Applications using Python","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, and binary oscillator computing. Dynamical Systems with Applications Using Python takes advantage of Python’s extensive visualization, simulation, and algorithmic tools to study those topics in nonlinear dynamical systems through numerical algorithms and generated diagrams.\u003cbr\u003eAfter a tutorial introduction to Python, the first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations. The second part of the book deals with discrete dynamical systems and progresses to the study of both continuous and discrete systems in contexts like chaos control and synchronization, neural networks, and binary oscillator computing. These later sections are useful reference material for undergraduate student projects. The book is rounded off with example coursework to challenge students’ programming abilities and Python-based exam questions. \u003cbr\u003eThis book will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a range of disciplines, such as biology, chemistry, computing, economics, and physics. Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential. \u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“Lynch has successfully captured this: I find this book to be uniquely successful in teaching a branch of mathematics together with computing while inspiring students to look at references and explorations beyond the text.” (Patrick Shipman, SIAM Review, Vol. 62 (2), 2020)\u003cbr\u003e“This book is meant as an upper level undergraduate or graduate text in dynamical systems. … this is an attractive text, one that I wish I had access to when I was learning dynamical systems, and one that I would be glad to teach from.” (John Starrett, MAA Reviews, July 28, 2019)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.- A Tutorial Introduction to Python.- Differential Equations.- Planar Systems.- Interacting Species.- Limit Cycles.- Hamiltonian Systems, Lyapunov Functions, and Stability.- Bifurcation Theory.- Three-Dimensional Autonomous Systems and Chaos.- Poincaré Maps and Nonautonomous Systems in the Plane.- Local and Global Bifurcations.- The Second Part of Hilbert's Sixteenth Problem.- Delay Differential Equations.- Linear Discrete Dynamical Systems.- Nonlinear Discrete Dynamical Systems.- Complex Iterative Maps.- Electromagnectic Waves and Optical Resonators.- Fractals and Multifractals.- Image Processing with Python.- Chaos Control and Synchronization.- Neural Networks.- Binary Oscillator Computing.- Coursework and Examination-Type Questions.- Solutions to Exercises.- Index of Python Programs.- Index.","brand":"Birkhauser Verlag AG","offers":[{"title":"Default Title","offer_id":50470736789847,"sku":"9783319781440","price":71.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319781440.jpg?v=1791481741"},{"product_id":"nonlinear-dynamics-and-evolution-equations-9780821837214","title":"Nonlinear Dynamics and Evolution Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eReflects a broad spectrum of research activities on the theory and applications of nonlinear dynamics and evolution equations. This book covers major areas of dynamical systems, ordinary, functional and partial differential equations, and applications of such equations in the mathematical modelling of various biological and physical phenomena.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eDisease spread in metapopulations by J. Arino and P. van den Driessche On some nonlocal evolution equations arising in materials science by P. W. Bates Invariant tori for Hamiltonian PDE by W. Craig Stable and not too unstable solutions on $R^n$ for small diffusion by N. Dancer Some recent results on diffusive predator-prey models in spatially heterogeneous environment by Y. Du and J. Shi Delayed non-local diffusive systems in biological invasion and disease spread by S. A. Gourley and J. Wu Asymptotic behavior for systems comparable to quasimonotone systems by J. Jiang $C^1$-smoothness of center manifolds for differential equations with state-dependent delay by T. Krisztin Normal forms for germs of analytic families of planar vector fields unfolding a generic saddle-node or resonant saddle by C. Rousseau Generic properties of symplectic diffeomorphisms by R. Saghin and Z. Xia Mathematical aspects of modelling tumour angiogenesis by B. D. Sleeman Interpretation of the generalized asymmetric May-Leonard model of three species competition as a food web in a chemostat by G. S. K. Wolkowicz On exact Poisson structures by Y. Yi and X. Zhang.","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50577672831319,"sku":"9780821837214","price":99.0,"currency_code":"GBP","in_stock":false}]},{"product_id":"numerical-methods-for-unconstrained-optimization-and-nonlinear-equations-16-classics-in-applied-mathematics-series-number-16-9780898713640","title":"Numerical Methods for Unconstrained Optimization","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or 'quasi-Newton' methods, and the heart of the book is the material on computational methods for multidimensional unconstrained optimization and nonlinear equation problems. The republication of this book by SIAM is driven by a continuing demand for specific and sound advice on how to solve real problems.","brand":"Society for Industrial and Applied Mathematics","offers":[{"title":"Default Title","offer_id":50577730371927,"sku":"9780898713640","price":56.77,"currency_code":"GBP","in_stock":true}]},{"product_id":"extending-hinfinity-control-to-nonlinear-systems-control-of-nonlinear-systems-to-achieve-performance-objectives-advances-in-design-and-control-series-number-1-9780898714401","title":"Extending Hinfinity Control to Nonlinear Systems","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eH-infinity control originated from an effort to codify classical control methods, where one shapes frequency response functions for linear systems to meet certain objectives. H-infinity control underwent tremendous development in the 1980s and made considerable strides toward systematizing classical control. This book addresses the next major issue of how this extends to nonlinear systems. At the core of nonlinear control theory lie two partial differential equations (PDEs). One is a first-order evolution equation called the information state equation, which constitutes the dynamics of the controller. One can view this equation as a nonlinear dynamical system. Much of this volume is concerned with basic properties of this system, such as the nature of trajectories, stability, and, most important, how it leads to a general solution of the nonlinear H-infinity control problem.","brand":"Society for Industrial and Applied Mathematics","offers":[{"title":"Default Title","offer_id":50577730830679,"sku":"9780898714401","price":92.65,"currency_code":"GBP","in_stock":true}]}],"url":"https:\/\/bookcurl.com\/collections\/nonlinear-science.oembed?page=4","provider":"Book Curl","version":"1.0","type":"link"}