It has been discovered over the past few decades that even motions in simple systems can have complex and surprising properties. This volume provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge. Richly illustrated throughout, its examples are taken from classical mechanics whose elementary laws are familiar to the reader. In order to emphasize the general features of chaos, the most important relations are also given in simple mathematical forms, independent of any mechanical interpretation.
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Book Description
Editorial Reviews
Review
"What I read, and enjoyed, was a well-organized, beautifully illustrated volume covering the main points of chaotic dynamical systems, using intuitive mechanical examples to motivate clear and lucid discussions...I would happily lend this book to any student wishing to begin learning the subject of chaotic dynamics, but I would certainly also demand its return>"
Rob Sturman, UK Nonlinear News Book Review
"All in all, the book is very readable, only requiring an elementary knowledge of physics and mathematics.... The book has been carefully edited by Cambridge University Press and contains a complete and useful bibliography with many useful graphs and color plates and is otherwise highly recommended as an introductory text."
Jaume Masoliver, Journal of Statistical Physics
"The authors do not shy away from the mathematics, but neither do they become so bogged down as to lose the excitement of discovery.... Highly recommended."
Choice
"The pictures at the end provide an attractive illustration of several phenomena discussed in the book."
Bernhard Lani-Wayda, Mathematical Reviews
Rob Sturman, UK Nonlinear News Book Review
"All in all, the book is very readable, only requiring an elementary knowledge of physics and mathematics.... The book has been carefully edited by Cambridge University Press and contains a complete and useful bibliography with many useful graphs and color plates and is otherwise highly recommended as an introductory text."
Jaume Masoliver, Journal of Statistical Physics
"The authors do not shy away from the mathematics, but neither do they become so bogged down as to lose the excitement of discovery.... Highly recommended."
Choice
"The pictures at the end provide an attractive illustration of several phenomena discussed in the book."
Bernhard Lani-Wayda, Mathematical Reviews
Book Description
Chaotic Dynamics provides a clear introduction to chaotic phenomena, based on geometrical interpretations and simple arguments, without requiring prior in-depth scientific and mathematical knowledge. Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the reader. The most important relations are also given in simple mathematical forms, independent of any mechanical interpretation. It includes a broad range of potential applications, ranging from everyday phenomena through engineering and environmental problems to astronomical aspects. This book is primarily intended for undergraduate students in science, engineering, and mathematics.
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Most Helpful Customer Reviews
1 of 1 people found the following review helpful:
5.0 out of 5 stars
Excellent basic textbook,
This review is from: Chaotic Dynamics: An Introduction Based on Classical Mechanics (Paperback)
A richly illustrated book with many elementary examples in classical mechanics. This is a basic textbook on the topic. Very much recommended for teachers and undergraduate students.
0 of 1 people found the following review helpful:
4.0 out of 5 stars
ok quality,
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This review is from: Chaotic Dynamics: An Introduction Based on Classical Mechanics (Paperback)
For the price of the book I'm not complaining! Quality is average-okay, would buy from again at this price.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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baker attractor, parabola attractor, kicking amplitude, area contraction rate, fat fractal exponent, parabola amplitude, phase space contraction rate, kicked oscillators, chaotic saddle, advection dynamics, baker saddle, parabola map, conservative chaos, spiral repellor, stroboscopic map, partial fractal dimensions, hyperbolic cycles, baker map, roof map, spiral attractor, heteroclinic points, rational torus, expanding phase spaces, transient chaos, node attractor Key Phrases - Capitalized Phrases (CAPs): (learn more)
Solar System, Edward Lorenz Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
baker attractor, parabola attractor, kicking amplitude, area contraction rate, fat fractal exponent, parabola amplitude, phase space contraction rate, kicked oscillators, chaotic saddle, advection dynamics, baker saddle, parabola map, conservative chaos, spiral repellor, stroboscopic map, partial fractal dimensions, hyperbolic cycles, baker map, roof map, spiral attractor, heteroclinic points, rational torus, expanding phase spaces, transient chaos, node attractor Key Phrases - Capitalized Phrases (CAPs): (learn more)
Solar System, Edward Lorenz Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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