Description |
1 online resource (xxi, 650 pages) : illustrations |
Series |
Oxford scholarship online. Physics module
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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 |
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Print version |
Subject |
Chaotic behavior in systems.
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Quantum chaos.
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Dynamics.
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Nonlinear theories.
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Chaotic behavior in systems
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Dynamics
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Nonlinear theories
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Quantum chaos
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Sciences - General.
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Physical Sciences & Mathematics.
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Form |
Electronic book
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LC no. |
2001265784 |
ISBN |
0198507232 |
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9780198507239 |
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9780191709340 |
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0191709344 |
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