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Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers

Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers - 2nd edition

ISBN13: 978-0198507239

Cover of Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers 2ND 01 (ISBN 978-0198507239)
ISBN13: 978-0198507239
ISBN10: 0198507232
Cover type:
Edition/Copyright: 2ND 01
Publisher: Oxford University Press
Published: 2001
International: No

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Chaos and Nonlinear Dynamics : An Introduction for Scientists and Engineers - 2ND 01 edition

ISBN13: 978-0198507239

Robert Hilborn

ISBN13: 978-0198507239
ISBN10: 0198507232
Cover type:
Edition/Copyright: 2ND 01
Publisher: Oxford University Press

Published: 2001
International: No
Summary

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 survey 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.

Author Bio

Hilborn, Robert : Amherst College

Table of Contents

First Edition Preface
First Edition Acknowledgments
Second Edition Preface
Second Edition Acknowledgments

I. The Phenomenology of Chaos
1. Three Chaotic Systems
2. The Universality of Chaos

II. Toward a Theory of Nonlinear Dynamics and Chaos
3. Dynamics in State Space: One and Two Dimensions
4. Three-Dimensional State Space and Chaos
5. Iterated Maps
6. Quasi-Periodicity and Chaos
7. Intermittency and Crises
8. Hamiltonian Systems

III. Measures of Chaos
9. Quantifying Chaos
10. Many Dimensions and Multifractals

IV. Special Topics
11. Pattern Formation and Spatiotemporal Chaos
12. Quantum Chaos, The Theory of Complexity, and Other Topics

Appendix A: Fourier Power Spectra
Appendix B: Bifurcation Theory
Appendix C: The Lorenz Model
Appendix D: The Research Literature on Chaos
Appendix E: Computer Programs
Appendix F: Theory of the Universal Feigenbaum Numbers
Appendix G: The Duffing Double-Well Oscillator
Appendix H: Other Universal Feature for One-Dimensional Iterated Maps
Appendix I: The van der Pol Oscillator
Appendix J: Simple Laser Dynamics Models
References
Index

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