Cybernetics and systems theory Books

Book SynopsisThis book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.Table of ContentsPart 1 Nonsmooth analysis: introduction; convex analysis; nonsmooth differential theory; nonsmooth geometry; nonsmooth optimization theory. Part 2 Nonsmooth optimization: introduction; a survey of bundle methods; proximal bundle method for nonconvex constrained optimization; numerical experiments. Part 3 Nonsmooth optimal control: distributed parameter control problems; optimal shape design; boundary control for Stefan type problems.

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Book SynopsisThis monograph presents the theory of nonconservative systems close to nonlinear integrable ones. With the example of concrete quasi-conservative systems close to nonintegrable ones, the results of numerical analysis are given, and the problem of applying the small parameter method is analyzed.The fundamantal part of the book deals with the investigation of the perturbable systems. Both autonomous and nonautonomous (periodic in time) systems are considered. The global analysis of systems close to the two-dimensional Hamiltonian ones takes a central place in the text. This global analysis includes the solution to problems such as the limit cycles, resonances, and nonregular dynamics. For the autonomous systems, one should note the analysis of the standard (Duffing and pendulum) equations including the solution to the “weakened” 16 Hilbert's problem, and for the nonautonomous systems one should note the mathematical foundations of the theory of synchronization of oscillations (the existence of new regimes, and the passage of invariant tori across the resonance zones under the change of detuning). The presentation is accompanied by examples.

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Book SynopsisIn the past hundred years investigators have learned the significance of complex behavior in deterministic systems. The potential applications of this discovery are as numerous as they are encouraging.This text clearly presents the mathematical foundations of chaotic dynamics, including methods and results at the forefront of current research. The book begins with a thorough introduction to dynamical systems and their applications. It goes on to develop the theory of regular and stochastic behavior in higher-degree-of-freedom Hamiltonian systems, covering topics such as homoclinic chaos, KAM theory, the Melnikov method, and Arnold diffusion. Theoretical discussions are illustrated by a study of the dynamics of small circumasteroidal grains perturbed by solar radiation pressure. With alternative derivations and proofs of established results substituted for those in the standard literature, this work serves as an important source for researchers, students and teachers.Skillfully combining in-depth mathematics and actual physical applications, this book will be of interest to the applied mathematician, the theoretical mechanical engineer and the dynamical astronomer alike.

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Book SynopsisThis book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.Table of ContentsPart 1 Nonsmooth analysis: introduction; convex analysis; nonsmooth differential theory; nonsmooth geometry; nonsmooth optimization theory. Part 2 Nonsmooth optimization: introduction; a survey of bundle methods; proximal bundle method for nonconvex constrained optimization; numerical experiments. Part 3 Nonsmooth optimal control: distributed parameter control problems; optimal shape design; boundary control for Stefan type problems.

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Book SynopsisThe world in which classical positivistic science and technology obtained great success has vanished. However, the way of thinking promoted by that epoch still lingers in our social consciousness, sometimes as a burden. To conquer the shortcomings of classical analytical science in the modern, ever more complex world, systems theory and its applications within systems science present an alternative to old paradigms.Systems theorists see common principles in the structure and operation of systems of all kinds and sizes. They promote an interdisciplinary science adapted for a universal application with a common language and area of concepts. This approach is seen as a means of not only overcoming the fragmentation of knowledge and the isolation of the specialist, but also finding new solutions to problems created by the earlier “solution of problems”.This book introduces the systemic alternative. It is divided into two parts. The first is devoted to the historical background of the systems movement, and presents pioneering thoughts and theories of the area. Basic concepts of general systems theory with well-known laws and principles are discussed, as well as related topics like cybernetics and information theory.The second part deals with some of the common applications of systems theory within systems science, such as artificial intelligence, management information systems and informatics. An attempt is made to predict the future of systems theory in a world apparently becoming fragmented and integrated at the same time.To engage oneself in systems theory and its striving towards an applied universal science is a highly cross-scientific occupation. The reader will come into contact with many different academic disciplines, and consequently the possibility of an all-round education — something particularly needed in our over-specialized world.Table of ContentsPart 1 The theories and why: the emergence of holistic thinking; basic ideas of general systems theory; a selection of systems theories; communication and information theory; some theories of brain and mind. Part 2 The applications and how: artificial intelligence and life; organization theory and management cybernetics; decision making and decision aids; informatics; some of the system methodologies; the future of systems theory.

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Book SynopsisThe world in which classical positivistic science and technology obtained great success has vanished. However, the way of thinking promoted by that epoch still lingers in our social consciousness, sometimes as a burden. To conquer the shortcomings of classical analytical science in the modern, ever more complex world, systems theory and its applications within systems science present an alternative to old paradigms.Systems theorists see common principles in the structure and operation of systems of all kinds and sizes. They promote an interdisciplinary science adapted for a universal application with a common language and area of concepts. This approach is seen as a means of not only overcoming the fragmentation of knowledge and the isolation of the specialist, but also finding new solutions to problems created by the earlier “solution of problems”.This book introduces the systemic alternative. It is divided into two parts. The first is devoted to the historical background of the systems movement, and presents pioneering thoughts and theories of the area. Basic concepts of general systems theory with well-known laws and principles are discussed, as well as related topics like cybernetics and information theory.The second part deals with some of the common applications of systems theory within systems science, such as artificial intelligence, management information systems and informatics. An attempt is made to predict the future of systems theory in a world apparently becoming fragmented and integrated at the same time.To engage oneself in systems theory and its striving towards an applied universal science is a highly cross-scientific occupation. The reader will come into contact with many different academic disciplines, and consequently the possibility of an all-round education — something particularly needed in our over-specialized world.Table of ContentsPart 1 The theories and why: the emergence of holistic thinking; basic ideas of general systems theory; a selection of systems theories; communication and information theory; some theories of brain and mind. Part 2 The applications and how: artificial intelligence and life; organization theory and management cybernetics; decision making and decision aids; informatics; some of the system methodologies; the future of systems theory.

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Book SynopsisThis book reveals how open innovation utilizes the developing circle of business models to establish new ones that define a unique link between technology and markets, focusing on how to develop and maintain successful business models. It draws readers into the philosophy and economic effects of open innovation from the outset.It presents four different developing circle business models for customers in the role of consumers, entrepreneurs, social entrepreneurs and engineers respectively, enabling each group to develop, utilize and enlarge creative business models, and even switch business models.In addition to these four circles, it takes a systemic approach to describe the relationship between technology and markets. From this relationship an open innovation strategy towards entrepreneurship can be adopted. From Open Innovation to a Creative Developing-Circle Business Model is an essential resource for start-up entrepreneurs, as well as for students of technology management, strategy and open innovation.Table of ContentsPart Ⅰ Introduction.- Part Ⅱ Open Innovation in Economy System and National Innovation System.- Part Ⅲ Open Innovation Strategy of Firm .- Part Ⅳ Relation between Open innovation and Business Model.- Part Ⅴ Developing a Business Model.

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Book SynopsisScientific progress during the last three decades has greatly profited from our advances in understanding complex systems. Fundamental modeling approaches were considerably improved, particularly agent-based modeling, network science, nonlinear dynamics, and system science. At the same time, these approaches have been applied to and adopted by various scientific disciplines, ranging from physics and chemistry to engineering, molecular biology, economics, and the social sciences.This book reflects the success of complexity science both from a historical and a modeling perspective. It uses 25 articles from different disciplines, published over 25 years, to demonstrate the power and problems of modeling complex systems.The book's four parts, Agent-based Models, Network Models, Models of System Dynamics, and Models of Evolution, each provide an informative synopsis of the respective modeling approach. An introductory overview summarizes each approach's essential concepts, addresses the main research directions, and reviews applications in various disciplines. The selection of reprinted publications is motivated by their scientific relevance and methodological contributions to understanding complex phenomena. A chronological list of publications details the development of each modeling approach over the past 25 years.

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Book SynopsisThis book provides an accessible overview concerning the stochastic numerical methods inheriting long-time dynamical behaviours of finite and infinite-dimensional stochastic Hamiltonian systems. The long-time dynamical behaviours under study involve symplectic structure, invariants, ergodicity and invariant measure. The emphasis is placed on the systematic construction and the probabilistic superiority of stochastic symplectic methods, which preserve the geometric structure of the stochastic flow of stochastic Hamiltonian systems. The problems considered in this book are related to several fascinating research hotspots: numerical analysis, stochastic analysis, ergodic theory, stochastic ordinary and partial differential equations, and rough path theory. This book will appeal to researchers who are interested in these topics.Table of Contents

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Book SynopsisThis book describes the research progress of the control design about strict-feedback nonlinear systems. A novel gain control design method is proposed, which greatly simplifies the construction procedure of controller for strict-feedback nonlinear systems. The control design problem of strict-feedback nonlinear systems is converted into the determination problem of gain parameters or the construction of dynamic gain equations. Therefore, the tedious iterative design procedure is effectively avoided. This book can be used as a reference for researchers in the field of control theory and engineers seeking advanced methods in practical control applications. Trade Review“Strict-feedback nonlinear systems remain general enough to cover a wide class of dynamical systems in practical control applications. … This book is devoted to presenting a systematic description of recent progress in stability and control of strict-feedback nonlinear systems, mainly within the gain control design framework. … the book may be helpful for some researchers who want to begin the research of strict-feedback nonlinear systems.” (Han Sheng Wu, Mathematical Reviews, December, 2023)“This book is of great interest to researchers in the fields of control theory and applied mathematics, as well as the engineers who search for advanced methodologies for practical control applications.” (Mihail Voicu, zbMATH 1519.93004, 2023)​Table of Contents1 Introduction1.1 A Brief History 1.2 Examples in Science and Engineering 1.3 Methods and Comparisons 1.4 Fundamental Concepts 2 Control Design of Nonlinear Systems with Constant Gain2.1 Global Stabilization of a Class of Time-Delay Nonlinear Systems 2.2 Disturbance Rejection Control for Systems with Quantized Input and Output2.3 Feedback Stabilization Control for Fractional Order Nonlinear Systems3 Finite Time Control of Nonlinear Systems with Time-varying Gain3.1 Finite-Time Stabilization for Time-Varying Nonlinear Systems3.2 Feedback Stabilization of Nonlinear Systems in any Prescribed Finite Time4 Event-Triggered Control of Nonlinear Systems with Functional Gain4.1 Tracking Control for Nonlinear Systems via Output Feedback 4.2 Output Feedback Control of Switched Systems with Input Saturation5 Control Design of Lower Triangular Nonholonomic Systems 5.1 A Gain Approach to Feedback Regulation of Uncertain Time-Varying Systems 5.2 Sampled-Data Integral Control of Nonholonomic Systems with Disturbances6 Output Feedback Control of Large Scale Nonlinear Systems6.1 Output Feedback Control of Large-Scale Nonlinear Time-Delay Systems 6.2 Event-Triggered Decentralized Control for Systems with Actuator Failures 7 Control Design of Distributed Protocol For Multi-Agent System7.1 Leader-Follower Consensus of Time-Varying Nonlinear Multi-Agent Systems7.2 Prescribed-Time Regulation of Uncertain Systems via Output Feedback7.3 Event-Triggered Consensus Protocol for Nonlinear Multi-Agent SystemsReferences

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Book SynopsisUnderstanding the spontaneous formation and dynamics of spatiotemporal patterns in dissipative nonequilibrium systems is one of the major challenges in nonlinear science. This collection of expository papers and advanced research articles, written by leading experts, provides an overview of the state of the art. The topics include new approaches to the mathematical characterization of spatiotemporal complexity, with special emphasis on the role of symmetry, as well as analysis and experiments of patterns in a remarkable variety of applied fields such as magnetoconvection, liquid crystals, granular media, Faraday waves, multiscale biological patterns, visual hallucinations, and biological pacemakers. The unitary presentations, guiding the reader from basic fundamental concepts to the most recent research results on each of the themes, make the book suitable for a wide audience.Table of ContentsInstabilities, Bifurcation, and the Role of Symmetry: Symmetry and Pattern Formation in the Visual Cortex (M Golubitsky et al.); Validity of the Ginzburg-Landau Approximation in Pattern Forming Systems with Time Periodic Forcing (N Breindl et al.); Pattern Formation on a Sphere (P C Matthews); Convergence Properties of Fourier Mode Representations of Quasipatterns (A M Rucklidge); Localized Patterns, Waves, and Weak Turbulence: Phase Diffusion and Weak Turbulence (J Lega); Pattern Formation and Parametric Resonance (D Armbruster & T-C Jo); Rogue Waves and the Benjamin-Feir Instability (C M Schober); Modelling and Characterization of Spatio-Temporal Complexity: A Finite-Dimensional Mechanism Responsible for Bursts in Fluid Mechanics (E Knobloch); Biological Lattice Gas Models (M S Alber et al.); Characterizations of Far from Equilibrium Structures Using Their Contours (G Nathan and G H Gunaratne); Internal Dynamics of Intermittency (R Sturman & P Ashwin); and other articles.

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Book SynopsisCosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.Table of ContentsSymmetry and Complexity in Early Culture and Philosophy; Symmetry and Complexity in Mathematics; Symmetry and Complexity in Physical Sciences; Symmetry and Complexity in Chemical Sciences; Symmetry and Complexity in Life Sciences; Symmetry and Complexity in Economic and Social Sciences; Symmetry and Complexity in Computer Science; Symmetry and Complexity in Philosophy and Arts.;

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Book SynopsisSystems theorists see common principles in the structure and operation of systems of all kinds and sizes. They promote an interdisciplinary science adapted for a universal application with a common language and area of concepts. In order to solve problems, make recommendations and predict the future, they use theories, models and concepts from the vast area of general systems theory. This approach is chosen as a means to overcome the fragmentation of knowledge and the isolation of the specialist but also to find new approaches to problems created by earlier 'solution of problems.'This revised and updated second edition of General Systems Theory — Ideas and Applications includes new systems theories and a new chapter on self-organization and evolution. The book summarizes most of the fields of systems theory and its application systems science in one volume. It provides a quick and readable reference guide for future learning containing both general theories and practical applications without the use of complicated mathematics.

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Book SynopsisThe dynamics of complex systems can clarify the creation of structures in Nature. This creation is driven by the collective interaction of constitutive elements of the system. Such interactions are frequently nonlinear and are directly responsible for the lack of prediction in the evolution process. The self-organization accompanying these processes occurs all around us and is constantly being rediscovered, under the guise of a new jargon, in apparently unrelated disciplines.This volume offers unique perspectives on aspects of fractals and complexity and, through the examination of complementary techniques, provides a unifying thread in this multidisciplinary endeavor. Do nonlinear interactions play a role in the complexity management of socio-econo-political systems? Is it possible to extract the global properties of genetic regulatory networks without knowing the details of individual genes? What can one learn by transplanting the self-organization effects known in laser processes to the study of emotions? What can the change in the level of complexity tell us about the physiological state of the organism? The reader will enjoy finding the answers to these questions and many more in this book.Table of Contents# Structure of Genetic Regulatory Networks: Evidence for Scale Free Networks (L S Liebovitch et al.) # Modelling Fractal Dynamics (B J West) # Fractional Relaxation of Distributed Order (R Gorenflo & F Mainardi) # Fractional Time: Dishomogeneous Poisson Processes vs. Homogeneous Non-Poisson Processes (P Allegrini et al.) # Markov Memory in Multifractal Natural Processes (N Papasimakis & F Pallikari) # Description of Complex Systems in Terms of Self-Organization Processes of Prime Integer Relations (V Korotkikh & G Korotkikh) # Dynamical Decomposition of Multifractal Time Series as Fractal Evolution and Long-Term Cycles: Applications to Foreign Currency Exchange Market (A Turiel & C Perez-Vicente) # Fractal Sets from Noninvertible Maps (Ch Mira) # A Generative Construction and Visualization of 3D Fractal Measures (T Martyn) # Complexity in Nature and Society: Complexity Management in the Age of Globalization (K Mainzer) # Fractals, Complexity and Chaos in Supply Chain Networks (M Pearson) # The Effects of Different Competition Rules on the Power-Law Exponent of High Income Distribution (K Yamamoto et al.) # Synergetics on Its Way to the Life Sciences (H Haken) # Complexity, Fractals, Nature and Industrial Design: Some Connections (N Sala) # Modelling Pattern Formation Upon Laser-Induced Etching (A Mora et al.) # Fractal Properties of Some Machined Surfaces (T R Thomas & B-G Rosen) # Fractals, Morphological Spectrum and Complexity of Interfacial Patterns in Non-Equilibrium Solidification (P K Galenko & D M Herlach) # Competition of Doublon Structure in the Phase-Field Model (S Tokunaga & H Sakaguchi) # Study of Thermal Field in Composite Materials (P Stefkova et al.) # Simulation of Geochemical Banding in Acidization-Precipitation Experiments In Situ (M Msharrafieh et al.) # Bulk Mediated Surface Diffusion: Non Markovian and Biased Behavior (J A Revelli et al) # Multifractal Formalism for Remote Sensing: A Contribution to the Description and the Understanding of Meteorological Phenomena in Satellite Images (J Grazzini et al.) # The Distance Ratio Fractal Image (X-Z Zhang et al.) # Iterated Function Systems in Mixed Euclidean and p-Adic Spaces (B Sing) # Multifractality of the Multiplicative Autogressive Point Processes (B Kaulakys et al.) # Analysis of Geographical Distribution Patterns in Plants Using Fractals (A Bari et al.) # Hierarchy of Cellular Automata in Relation to Control of Chaos or Anticontrol (M Markus et al.) # Fractal Analysis of the Images Using Wavelet Transformation (P Jerabkova et al.) # Clustering Phenomena in the Time Distribution of Lightning (L Telesca et al.) # A Cornucopia of Connections: Finding Four Familiar Fractals in the Tower of Hanoi (D R Camp) # Monitoring the Depth of Anaesthesia Using Fractal Complexity Method (W Klonowski et al.) # The Complex Couplings and Gompertzian Dynamics (P Waliszewski & J Konarski)

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Book SynopsisComplexity is emerging as a post-Newtonian paradigm for approaching a large body of phenomena of concern at the crossroads of physical, engineering, environmental, life and human sciences from a unifying point of view. This book outlines the foundations of modern complexity research as it arose from the cross-fertilization of ideas and tools from nonlinear science, statistical physics and numerical simulation. It is shown how these developments lead to an understanding, both qualitative and quantitative, of the complex systems encountered in nature and in everyday experience and, conversely, how natural complexity acts as a source of inspiration for progress at the fundamental level.Table of ContentsThe Phenomenology of Complex Systems; Quantitative View; The Probabilistic Dimension of Complex Systems; Information, Entropy and Selection; Communicating with a Complex System: Monitoring, Analysis and Prediction; Selected Topics.

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Book SynopsisThis book contains the Proceedings of the 2007 Conference of the Italian Systems Society. Papers deal with the interdisciplinary study of processes of emergence, considering theoretical aspects and applications from physics, cognitive science, biology, artificial intelligence, economics, architecture, philosophy, music and social systems. Such an interdisciplinary study implies the need to model and distinguish, in different disciplinary contexts, the establishment of structures, systems and systemic properties. Systems, as modeled by the observer, not only possess properties, but are also able to make emergent new properties. While current disciplinary models of emergence are based on theories of phase transitions, bifurcations, dissipative structures, multiple systems and organization, the present volume focuses on both generalizing those disciplinary models and identifying correspondences and new more general approaches. The general conceptual framework of the book relates to the attempt to build a general theory of emergence as a general theory of change, corresponding to Von Bertalanffy's project for a general system theory.Table of ContentsTheoretical Problems of Systemics; Emergence; Emergence in Architecture, Artificial Intelligence, Economics and Management, Medicine, and Social Systems; Cognitive Science: Models and Systems.

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Book SynopsisIn almost 60 articles this book reviews the current state of second-order cybernetics and investigates which new research methods second-order cybernetics can offer to tackle wicked problems in science and in society. The contributions explore its application to both scientific fields (such as mathematics, psychology and consciousness research) and non-scientific ones (such as design theory and theater science). The book uses a pluralistic, multifaceted approach to discuss these applications: Each main article is accompanied by several commentaries and author responses, which together allow the reader to discover further perspectives than in the original article alone. This procedure shows that second-order cybernetics is already on its way to becoming an idea shared by many researchers in a variety of disciplines.

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Book SynopsisWhile the possible depletion of energy sources has been emphasized in most literatures, this book aims to show that the increase of entropy in the biosphere, resulting since the dawn of industrial era, is a cause for urgent concern.As the entropy release puts a limit on sustainable growth, and the CO₂ atmospheric content is a reliable indicator of global entropy release that threatens the biospheric balance, a change of paradigm is necessary with the need to switch from an economy of exploitation to an economy of entropy.

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Book SynopsisThis book on complexity science comprises a collection of chapters on methods and principles from a wide variety of disciplinary fields — from physics and chemistry to biology and the social sciences.In this two-part volume, the first part is a collection of chapters introducing different aspects in a coherent fashion, and providing a common basis and the founding principles of the different complexity science approaches; the next provides deeper discussions of the different methods of use in complexity science, with interesting illustrative applications.The fundamental topics deal with self-organization, pattern formation, forecasting uncertainties, synchronization and revolutionary change, self-adapting and self-correcting systems, and complex networks. Examples are taken from biology, chemistry, engineering, epidemiology, robotics, economics, sociology, and neurology.

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Book SynopsisA System of Systems (SoS), as distinct from a system of parts, is a system comprised of pre-existing autonomous and interdependent systems.This book provides two unique contributions to the body of knowledge of System of Systems (SoS) theory, management, and engineering. Firstly, it assesses the dynamics of a SoS through the use of five core characteristics, namely autonomy, belonging, connectivity, diversity and emergence. Secondly, it describes a mechanism of collaboration whereby the characteristics of autonomy and belonging are satisficing for the SoS constituents and the resultant emergent behavior provides value for the observer.Table of ContentsLiterature Review and Research Boundary; Research Approach; System of Systems Formation; System Validation.

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Book SynopsisThis collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the state-of-the-art of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field.Table of ContentsProblems with Lorenz's Modeling and the Algorithm of Chaos Doctrine (S OuYang & Y Lin); Nonexistence of Chaotic Solutions of Nonlinear Differential Equations (L S Yao); Dynamics of Quadratic and Higher Degree Polynomial ODE Systems (J Heidel & F Zhang); On Chaotic and Hyperchaotic Complex Nonlinear Dynamical Systems (G M Mahmoud); On the Study of Chaotic Systems with Non-Horseshoe Template (A Ray et al.); Instability of Solutions of Fourth and Fifth Order Delay Differential Equations (C Tunc); Some Conjectures about the Synchronizability and the Topology of Networks (A Caneco et al.); Wavelet Study of Dynamical Systems using Partial Differential Equations (E B Postnikov); Combining the Dynamics of Discrete Dynamical Systems (J S Canovas); Code Structure for Pairs of Linear Maps with Some Open Problems (P Troshin); Recent Advances in Open Billiards with Some Open Problems (C P Dettmann); Open Problems in the Dynamics of the Expression of Gene Interaction Networks (L S Liebovitch & V Naudot); How to Transform a Type of Chaos in Dynamical Systems (E Zeraoulia & J C Sprott).

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Book SynopsisThis book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.Table of ContentsThe Phenomenology of Complex Systems; Deterministic View; Probabilistic Description; Complexity, Entropy and Information; Prediction; Selected Topics; Exercises and Problems; Suggestions for Further Reading.

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Book SynopsisThis volume provides a self-contained survey of the mechanisms presiding information processing and communication. The main thesis is that chaos and complexity are the basic ingredients allowing systems composed of interesting subunits to generate and process information and communicate in a meaningful way. Emphasis is placed on communication in the form of games and on the related issue of decision making under conditions of uncertainty. Biological, cognitive, physical, engineering and societal systems are approached from a unifying point of view, both analytically and by numerical simulation, using the methods of nonlinear dynamics and probability theory. Epistemological issues in connection with incompleteness and self-reference are also addressed.

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Book SynopsisThis is an introductory-level text on fractional calculus and fractional differential equations. Targeted to graduate students of mathematics and researchers, it contains several new definitions of fractional integrals and fractional derivatives. With interesting applications of the subject in several areas of physical sciences, life sciences, engineering, and technology, the book helps the students understand the importance and developments of this topic. The book is enriched with a list of useful references to published literature, and the presentation of the book is entirely new and easily comprehensible to the students. Some of the topics are refined, and new examples are included to supplement theories to help students understand the concepts easily and clearly. Table of ContentsChapter 1 Introduction.- Chapter 2 Fractional Calculus.- Chapter 3 Fractional Differential Equations.- Chapter 4 Applications.- Chapter 5 Fractional Partial Differential Equations.

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