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Lectures on Chaotic Dynamical Systems
Valentin Afraimovich, San Luis Potosi State University, Mexico, and Sze-Bi Hsu, Tsing-Hua University, Hsinchu, Taiwan
A co-publication of the AMS and International Press.
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AMS/IP Studies in Advanced Mathematics
2002; 353 pp; hardcover
Volume: 28
ISBN-10: 0-8218-3168-2
ISBN-13: 978-0-8218-3168-7
List Price: US$54
Member Price: US$43.20
Order Code: AMSIP/28
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This book is devoted to chaotic nonlinear dynamics. It presents a consistent, up-to-date introduction to the field of strange attractors, hyperbolic repellers, and nonlocal bifurcations. The authors keep the highest possible level of "physical" intuition while staying mathematically rigorous. In addition, they explain a variety of important nonstandard algorithms and problems involving the computation of chaotic dynamics.

The book will help readers who are not familiar with nonlinear dynamics to understand and appreciate sophisticated modern dynamical systems and chaos. Intended for courses in either mathematics, physics, or engineering, prerequisites are calculus, differential equations, and functional analysis.

Titles in this series are co-published with International Press, Cambridge, MA.

Readership

Graduate students in applied mathematics, mathematical physics, theoretical physics, and electrical engineering.

Reviews

"A dynamical systems book written by experts. The book of Afraimovich and Hsu is a nice reference for a graduate course in dynamical systems."

-- Mathematical Reviews

Table of Contents

  • Basic concepts
  • Zero-dimensional dynamics
  • One-dimensional dynamics
  • Two-dimensional dynamics
  • Systems with 1.5 degrees of freedom
  • Systems generated by three-dimensional vector fields
  • Lyapunov exponents
  • Appendix
  • Bibliography
  • Index
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