Lectures on chaotic dynamical systems
by Afraĭmovich, V. S., (Valentin Senderovich)
"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 dynamic…
Read More ↓Title Statements
- Full title :Lectures on chaotic dynamical systems / Valentin Afraimovich and Sze-Bi Hsu.
Summary
"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 enjoy sophisticated modern monographs on dynamical systems and chaos. Intended for courses in either mathematics, physics, or engineering, prerequisites are calculus, differential equations, and functional analysis."--Jacket.
Read More ↓Edition Statements
- Publication Date:©2003.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, RI
- Language:eng
- Publication Date:©2003.
The Physical Object
- Description:xi, 353 pages : : illustrations ; : 26 cm.
Edition Identifiers
- ISBN:0821831682, 9780821831687
- oclc:ocm49959409
- LC Classification:QA614.8
- Dewey Decimal:514/.74
Table of Contents
1. Basic Concepts -- 2. Zero-Dimensional Dynamics -- 3. One-Dimensional Dynamics -- 4. Two-Dimensional Dynamics -- 5. Systems with 1.5 Degrees of Freedom -- 6. Generated by 3-D Vector Fields -- 7. Lyapunov Exponents -- App. 1. Proof of the Annulus Principle -- App. 2. Normal Form for the Andronov-Hopf-Naimark-Sacker Bifurcation -- App. 3. Dissipative 'Separatrix Map" -- App. 4. Derivation of the Zaslavsky map [Z] -- App. 5. Concluding Remarks on Symbolic Dynamics -- App. 6. Hyperbolicity Conditions.
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