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Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers
Robert Hilborn, “Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers”
Publisher: Oxford University Press, USA | Number Of Pages: 672 | 2001 | ISBN:0198507232 | PDF | 7 MB
This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab. Booknews Annotation
Hilborn (physics, ) presents an introduction to chaos and nonlinear dynamics, using the description of a system's behavior in state space as the main conceptual tool. Both differential equation models and iterated map models are discussed. Coverage extends to pattern formation, Lyapunov exponents, fractal dimensions, and a survey of the question of quantum chaos. The text is designed for students familiar with -level introductory physics and calculus through elementary differential equations. Distributed by U. Press.
Annotation c. Book News, Inc., Portland, OR (booknews.com) Table of Contents
First Edition Preface
First Edition Acknowledgments
Preface
Second Edition Acknowledgments
I The Phenomenology of Chaos
1 Three Chaotic Systems 3
2 The Universality of Chaos 47
II Toward a Theory of Nonlinear Dynamics and Chaos
3 Dynamics in State Space: One and Two Dimensions 71
4 Three-Dimensional State Space and Chaos 117
5 Iterated Maps 157
6 Quasi-Periodicity and Chaos 210
7 Intermittency and Crises 250
8 Hamiltonian Systems 272
III Measures of Chaos
9 Quantifying Chaos 319
10 Many Dimensions and Multifractals 375
IV Special Topics
11 Patterns Formation and Spatiotemporal Chaos 433
12 Quantum Chaos, The Theory of Complexity, and Other Topics 490
App. A Fourier Power 533
App. B Bifurcation Theory 541
App. C The Lorenz Model 547
App. D The Research Literature on Chaos 559
App. E 560
App. F Theory of the Universal Feigenbaum Numbers 568
App. G The Duffing Double-Well Oscillator 579
App. H Other Universal Features for One-Dimensional Interated Maps 584
App. I The der Pol Oscillator 589
App. J Simple Laser Dynamics Models 598
References 605
Index 643
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Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers
Robert Hilborn, “Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers”
Publisher: Oxford University Press, USA | Number Of Pages: 672 | 2001 | ISBN:0198507232 | PDF | 7 MB
This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab. Booknews Annotation
Hilborn (physics, ) presents an introduction to chaos and nonlinear dynamics, using the description of a system's behavior in state space as the main conceptual tool. Both differential equation models and iterated map models are discussed. Coverage extends to pattern formation, Lyapunov exponents, fractal dimensions, and a survey of the question of quantum chaos. The text is designed for students familiar with -level introductory physics and calculus through elementary differential equations. Distributed by U. Press.
Annotation c. Book News, Inc., Portland, OR (booknews.com) Table of Contents
First Edition Preface
First Edition Acknowledgments
Preface
Second Edition Acknowledgments
I The Phenomenology of Chaos
1 Three Chaotic Systems 3
2 The Universality of Chaos 47
II Toward a Theory of Nonlinear Dynamics and Chaos
3 Dynamics in State Space: One and Two Dimensions 71
4 Three-Dimensional State Space and Chaos 117
5 Iterated Maps 157
6 Quasi-Periodicity and Chaos 210
7 Intermittency and Crises 250
8 Hamiltonian Systems 272
III Measures of Chaos
9 Quantifying Chaos 319
10 Many Dimensions and Multifractals 375
IV Special Topics
11 Patterns Formation and Spatiotemporal Chaos 433
12 Quantum Chaos, The Theory of Complexity, and Other Topics 490
App. A Fourier Power 533
App. B Bifurcation Theory 541
App. C The Lorenz Model 547
App. D The Research Literature on Chaos 559
App. E 560
App. F Theory of the Universal Feigenbaum Numbers 568
App. G The Duffing Double-Well Oscillator 579
App. H Other Universal Features for One-Dimensional Interated Maps 584
App. I The der Pol Oscillator 589
App. J Simple Laser Dynamics Models 598
References 605
Index 643
حمل من
http://rapidshare.com/files/9753907/0198507232.rar
=========
http://mihd.net/3xk54y
======
