Research Catalog

Title

Chaos and nonlinear dynamics : an introduction for scientists and engineers / Robert C. Hilborn.

Author

Hilborn, Robert C.

Publication

New York : Oxford University Press, 1994.

Items in the Library & Off-site

Details

Description

xvii, 654 pages : illustrations; 25 cm

Summary

• This is the only book that introduces the full range of activity in the rapidly growing field of nonlinear dynamics to students, scientists, and engineers with no in-depth experience in the subject. The text provides a step-by-step discussion of dynamics and geometry in state space as a basis for its explanation of nonlinear dynamics. It goes on to introduce Hamiltonian dynamics and present thorough treatments of such key topics as differential equation models, iterated map models (including a derivation of the famous Feigenbaum numbers), and the surprising role of number theory in dynamics. It is also the only introductory level book to include the increasingly important field of pattern formation, along with a survey of the controversial questions of quantum chaos. Important analytical tools, such as Lyapunov exponents, Kolmogorov entropies, and fractal dimensions, are treated in detail.
• With over 200 figures and diagrams, and both analytic and computer exercises following every chapter, the book is ideally suited for use as a text or for self-instruction. An extensive collection of annotated references surveys the literature in nonlinear dynamics, which the reader will be prepared to tackle after completing the book.

Subject

• Chaotic behavior in systems
• Quantum chaos
• Dynamics
• Nonlinear theories
• Dynamics
• Chaotic behavior in systems
• Nonlinear theories
• Quantum chaos
• Chaostheorie
• Nichtlineares dynamisches System
• Quantenchaos
• Sistemas dinamicos
• Dinamica
• Théories non-linéaires
• Chaos (théorie des systèmes)
• Chaos quantique
• Dynamique

Bibliography (note)

• Includes bibliographical references and index.

Contents

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.

ISBN

• 0195057600
• 9780195057607
• 0195088166
• 9780195088168

LCCN

92040059

OCLC

• ocm27011496
• 27011496
• SCSB-2001826

Owning Institutions

Princeton University Library