Lectures on Chaotic Dynamical Systems ( AMS/IP Studies in Advanced Mathematics )

Publication series :AMS/IP Studies in Advanced Mathematics

Author: Valentin Afraimovich;Sze-Bi Hsu  

Publisher: American Mathematical Society‎

Publication year: 2017

E-ISBN: 9781470438173

P-ISBN(Paperback): 9780821831687

Subject: O19 Dynamical Systems Theory

Keyword: 暂无分类

Language: ENG

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Lectures on Chaotic Dynamical Systems

Description

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.

Chapter

Title page

Contents

Preface

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

Back Cover

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