Introduction to Applied Nonlinear Dynamical Systems and Chaos

✍ Scribed by Stephen Wiggins (auth.)

• Publisher: Springer New York
• Year: 1990
• Tongue: English
• Leaves: 864
• Series: Texts in Applied Mathematics 2
• Edition: 2nd
• Category: Library

✦ Synopsis

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte f?r Mathematik

✦ Table of Contents

Front Matter....Pages i-xiv
Introduction....Pages 1-4
The Geometrical Point of View of Dynamical Systems: Background Material, Poincaré Maps, and Examples....Pages 5-192
Methods for Simplifying Dynamical Systems....Pages 193-252
Local Bifurcations....Pages 253-419
Some Aspects of Global Bifurcations and Chaos....Pages 420-650
Back Matter....Pages 651-672

✦ Subjects

Analysis