Search results for ""Author Julien Clinton Sprott""
MP-WIS Uni of Wisconsin Physics Demonstrations A Sourcebook for Teachers
Book SynopsisFew techniques are as effective at generating interest in science as dramatic demonstrations. This fully illustrated sourcebook describes eighty-five physics demonstrations suitable for performance both inside and outside classrooms. These demonstrations will fascinate and amaze while teaching the wonders and practical science of physics.
£44.96
World Scientific Publishing Co Pte Ltd Elegant Circuits: Simple Chaotic Oscillators
Book SynopsisChaos is the study of the underlying determinism in the seemingly random phenomena that occur all around us. One of the best experimental demonstrations of chaos occurs in electrical circuits when the parameters are chosen carefully. We will show you how to construct such chaotic circuits for use in your own studies and demonstrations while teaching you the basics of chaos.This book should be of interest to researchers and hobbyists looking for a simple way to produce a chaotic signal. It should also be useful to students and their instructors as an engaging way to learn about chaotic dynamics and electronic circuits. The book assumes only an elementary knowledge of calculus and the ability to understand a schematic diagram and the components that it contains.You will get the most out of this book if you can construct the circuits for yourself. There is no substitute for the thrill and insight of seeing the output of a circuit you built unfold as the trajectory wanders in real time across your oscilloscope screen. A goal of this book is to inspire and delight as well as to teach.
£108.00
World Scientific Publishing Co Pte Ltd Elegant Chaos: Algebraically Simple Chaotic Flows
Book SynopsisThis heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.
£45.60
World Scientific Publishing Co Pte Ltd Elegant Fractals: Automated Generation Of Computer Art
Book SynopsisFractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal. Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail.Other books by the author that could be of interest to the reader are Elegant Chaos: Algebraically Simple Chaotic Flows (J C Sprott, 2010) and Elegant Circuits: Simple Chaotic Oscillators (J C Sprott and W J Thio, 2020).
£99.00
World Scientific Publishing Co Pte Ltd Elegant Chaos: Algebraically Simple Chaotic Flows
Book SynopsisThis heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.Table of ContentsFundamentals; Periodically Forced Systems; Autonomous Dissipative Systems; Autonomous Conservative Systems; Low-Dimensional Systems (D < 3); High-Dimensional Systems (D > 3); Infinite-Dimensional Systems; Chaotic Electrical Circuits.
£86.45
World Scientific Publishing Co Pte Ltd Elegant Automation: Robotic Analysis Of Chaotic
Book SynopsisThis book was mostly written by a machine that was programmed to search a system of equations for chaotic solutions, simplify the equations to the extent possible, analyze the behavior, produce figures, and write the accompanying text. The equations are coupled autonomous ordinary differential equations with three variables and at least one nonlinearity. Fifty simple systems are included. Some are old and familiar; others are relatively new and unknown. They are chosen to illustrate by simple example most of dynamical behaviors that can occur in low-dimensional chaotic systems.There is no substitute for the thrill and insight of seeing the solution of a simple equation unfold as the trajectory wanders in real time across your computer screen using a program of your own making. A goal of this book is to inspire and delight as well as to teach. It provides a wealth of examples ripe for further study and extension, and it offers a glimpse of a future when artificial intelligence supplants many of the mundane tasks that accompany dynamical systems research and becomes a true and tireless collaborator.
£99.00
World Scientific Publishing Co Pte Ltd Robust Chaos And Its Applications
Book SynopsisRobust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems (more than 260 in the whole book) intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular.Table of ContentsPoincare Map Technique, Smale Horseshoe and Symbolic Dynamics; Robustness of Chaos; Statistical Properties of Chaotic Attractors; Structural Stability; Transversality, Invariant Foliation, and the Shadowing Lemma; Chaotic Attractors with Hyperbolic Structure; Robust Chaos in Hyperbolic Systems; Lorenz-Type Systems; Robust Chaos in the Lorenz-Type Systems; No Robust Chaos in Quasi-Attractors; Robust Chaos in One-Dimensional Maps; Robust Chaos in 2-D Piecewise Smooth Maps.
£135.00
World Scientific Publishing Co Pte Ltd 2-d Quadratic Maps And 3-d Ode Systems: A
Book SynopsisThis book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Hénon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters.Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2-D quadratic map, where previous works are oriented toward Hénon mapping. 2-D quadratic maps are then classified into 30 maps with well-known formulas. Two proofs on the regions for chaos, hyperchaos, and non-chaos in the space of the bifurcation parameters are presented using a technique based on the second-derivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincaré map, and the second is based on a computer-assisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2-D mapping and a 1-D approximated Poincaré mapping in addition to other analytical methods.
£97.20
World Scientific Publishing Co Pte Ltd Frontiers In The Study Of Chaotic Dynamical
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).
£87.40
World Scientific Publishing Co Pte Ltd Images Of A Complex World: The Art And Poetry Of
Book SynopsisWith the poems written by winner of the Posner Poetry Award from the Council of Wisconsin Writers in 2005, this coffee-table book will delight and inform general readers curious about ideas of chaos, fractals, and nonlinear complex systems. Developed out of ten years of interdisciplinary seminars in chaos and complex systems at the University of Wisconsin-Madison, it features multiple ways of knowing: Robin Chapman's poems of everyday experience of change in a complex world, associated metaphorically with Julien Clinton Sprott's full-color computer art generated from billions of versions of only three simple equations for strange attractors, Julia sets, and iterated function systems; his definitions of 39 key terms; a mathematical appendix; and even a multiple-choice quiz to test understanding. Accompanied by a CD-ROM of the poet reading 13 poems and 1,000 images of chaos art from which slide shows can be generated and 100 high-resolution posters created, the book has a foreword by Cliff Pickover, author of A Passion for Mathematics.Trade Review"Complexity has spread like wildfire through many disciplines, revolutionizing the way we view the world around us. Robin Chapman and Clint Sprott celebrate the eclectic nature of Complexity with this beautiful and educational journey through science, art and literature."Richard TaylorProfessor of Physics, Psychology, and ArtUniversity of Oregon"This book is the future already here. On its pages, beauty and meaning are one, and art, poetry and science dance together in perfect time."Jesse Lee Kerchevalauthor of World as Dictionary and Dog Angeland Professor of EnglishUniversity of Wisconsin-Madison"Combining Julien Clinton Sprott's exquisite computer art -- generated from equations that contain chaos -- with Robin Chapman's deeply intelligent and moving poems -- by turns meditative, narrative, descriptive, witty -- this book reveals the elegant simplicity at the heart of infinite detail and variety. Bird, tree, air, flower; Mandelbrot set, non-linear system, fractal geometry, strange attractor; come together here in the most visually striking and intellectually satisfying fashion. Not since Robert Herrick explored the disorder of Julia's clothes (a Julia set, of sorts, perhaps?) has chaos had such a winsome articulation. In our increasingly fragmented world, where science and poetry, physics and art, may seem strange bedfellows, Chapman and Sprott's fertile collaboration has produced a book of wonders, a wonder of a book."Ronald Wallaceauthor of Long for This Worldand Professor of Poetry and EnglishUniversity of Wisconsin-Madison"Images of a Complex World showcases Chapman's considerable skills as a poet and Sprott's polished ability as a pedagogue ... The illustrations offer subtle but effective conjunctions between art and science, reiterating the beauty of physics and the rigor of prosody ... This book stands as a wonderful reminder of the joy we all get from our own discipline and from its conjunction with others. Though Chapman and Sprott make modest claims for their work, it is truly a stunning achievement."Nonlinear Dynamics, Psychology, and Life Sciences"This collection of Chapman's poems with Sprott's visual art and mathematical expositions is a welcome compilation and nicely shows the breadth of their work, both separately and in collaboration ... Buy it or have your library purchase it, share it with your students, and dip into it when your creative pump needs priming."The Mathematical IntelligencerTable of Contents# Dynamical Systems # Viewing Dynamics # Where It All Ends # Routes to Chaos # Images of Chaos # Chaos and Predictability # Truth and Beauty
£57.00
World Scientific Publishing Co Pte Ltd Images Of A Complex World: The Art And Poetry Of
Book SynopsisWith the poems written by winner of the Posner Poetry Award from the Council of Wisconsin Writers in 2005, this coffee-table book will delight and inform general readers curious about ideas of chaos, fractals, and nonlinear complex systems. Developed out of ten years of interdisciplinary seminars in chaos and complex systems at the University of Wisconsin-Madison, it features multiple ways of knowing: Robin Chapman's poems of everyday experience of change in a complex world, associated metaphorically with Julien Clinton Sprott's full-color computer art generated from billions of versions of only three simple equations for strange attractors, Julia sets, and iterated function systems; his definitions of 39 key terms; a mathematical appendix; and even a multiple-choice quiz to test understanding. Accompanied by a CD-ROM of the poet reading 13 poems and 1,000 images of chaos art from which slide shows can be generated and 100 high-resolution posters created, the book has a foreword by Cliff Pickover, author of A Passion for Mathematics.Trade Review"Complexity has spread like wildfire through many disciplines, revolutionizing the way we view the world around us. Robin Chapman and Clint Sprott celebrate the eclectic nature of Complexity with this beautiful and educational journey through science, art and literature."Richard TaylorProfessor of Physics, Psychology, and ArtUniversity of Oregon"This book is the future already here. On its pages, beauty and meaning are one, and art, poetry and science dance together in perfect time."Jesse Lee Kerchevalauthor of World as Dictionary and Dog Angeland Professor of EnglishUniversity of Wisconsin-Madison"Combining Julien Clinton Sprott's exquisite computer art -- generated from equations that contain chaos -- with Robin Chapman's deeply intelligent and moving poems -- by turns meditative, narrative, descriptive, witty -- this book reveals the elegant simplicity at the heart of infinite detail and variety. Bird, tree, air, flower; Mandelbrot set, non-linear system, fractal geometry, strange attractor; come together here in the most visually striking and intellectually satisfying fashion. Not since Robert Herrick explored the disorder of Julia's clothes (a Julia set, of sorts, perhaps?) has chaos had such a winsome articulation. In our increasingly fragmented world, where science and poetry, physics and art, may seem strange bedfellows, Chapman and Sprott's fertile collaboration has produced a book of wonders, a wonder of a book."Ronald Wallaceauthor of Long for This Worldand Professor of Poetry and EnglishUniversity of Wisconsin-Madison"Images of a Complex World showcases Chapman's considerable skills as a poet and Sprott's polished ability as a pedagogue ... The illustrations offer subtle but effective conjunctions between art and science, reiterating the beauty of physics and the rigor of prosody ... This book stands as a wonderful reminder of the joy we all get from our own discipline and from its conjunction with others. Though Chapman and Sprott make modest claims for their work, it is truly a stunning achievement."Nonlinear Dynamics, Psychology, and Life Sciences"This collection of Chapman's poems with Sprott's visual art and mathematical expositions is a welcome compilation and nicely shows the breadth of their work, both separately and in collaboration ... Buy it or have your library purchase it, share it with your students, and dip into it when your creative pump needs priming."The Mathematical IntelligencerTable of Contents# Dynamical Systems # Viewing Dynamics # Where It All Ends # Routes to Chaos # Images of Chaos # Chaos and Predictability # Truth and Beauty
£93.10
World Scientific Publishing Co Pte Ltd Elegant Simulations: From Simple Oscillators To
Book SynopsisA recent development is the discovery that simple systems of equations can have chaotic solutions in which small changes in initial conditions have a large effect on the outcome, rendering the corresponding experiments effectively irreproducible and unpredictable. An earlier book in this sequence, Elegant Chaos: Algebraically Simple Chaotic Flows provided several hundred examples of such systems, nearly all of which are purely mathematical without any obvious connection with actual physical processes and with very limited discussion and analysis.In this book, we focus on a much smaller subset of such models, chosen because they simulate some common or important physical phenomenon, usually involving the motion of a limited number of point-like particles, and we discuss these models in much greater detail. As with the earlier book, the chosen models are the mathematically simplest formulations that exhibit the phenomena of interest, and thus they are what we consider 'elegant.'Elegant models, stripped of unnecessary detail while maximizing clarity, beauty, and simplicity, occupy common ground bordering both real-world modeling and aesthetic mathematical analyses. A computational search led one of us (JCS) to the same set of differential equations previously used by the other (WGH) to connect the classical dynamics of Newton and Hamilton to macroscopic thermodynamics. This joint book displays and explores dozens of such relatively simple models meeting the criteria of elegance, taste, and beauty in structure, style, and consequence.This book should be of interest to students and researchers who enjoy simulating and studying complex particle motions with unusual dynamical behaviors. The book assumes only an elementary knowledge of calculus. The systems are initial-value iterated maps and ordinary differential equations but they must be solved numerically. Thus for readers a formal differential equations course is not at all necessary, of little value and limited use.
£99.00
