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Book Cover
E-book
Author Hilborn, Robert C., author.

Title Chaos and nonlinear dynamics : an introduction for scientists and engineers / Robert C. Hilborn
Edition 2nd ed
Published Oxford ; New York : Oxford University Press, 2000

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Description 1 online resource (xxi, 650 pages) : illustrations
Series Oxford scholarship online. Physics module
Contents Machine derived contents note: 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
Summary This book introduces students, scientists, and engineers to the full range of activity in the rapidly growing field on nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of understanding nonlinear dynamics, this book includes a thorough treatment of both differential equation models and iterated map models (including a derivation of the famous Feigenbaum numbers)
Bibliography Includes bibliographical references (pages 605-642) and index
Notes English
Print version
Subject Chaotic behavior in systems.
Quantum chaos.
Dynamics.
Nonlinear theories.
Chaotic behavior in systems
Dynamics
Nonlinear theories
Quantum chaos
Sciences - General.
Physical Sciences & Mathematics.
Form Electronic book
LC no. 2001265784
ISBN 0198507232
9780198507239
9780191709340
0191709344