Nonlinear Dynamics and Chaos

by Thompson, J. M. T.; Stewart, H. B.

• ISBN13: 9780471876458
• ISBN10: 0471876453
• Edition: 2nd
• Format: Hardcover
• Copyright: 2002-02-15
• Publisher: WILEY

Summary

Nonlinear dynamics and chaos involves the study of apparent random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences. Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos. * Expands on the bestselling, highly regarded first edition * A new chapter which will cover the new research in the area since first edition * Glossary of terms and a bibliography have been added * All figures and illustrations will be 'modernised' * Comprehensive and systematic account of nonlinear dynamics and chaos, still a fast-growing area of applied mathematics * Highly illustrated * Excellent introductory text, can be used for an advanced undergraduate/graduate course text

Author Biography

John Michael Tutill Thompson, born on 7 June 1937 in Cottingham, England, is an Honorary Fellow in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. He is married with two children.

H. B. Stewart is the author of Nonlinear Dynamics and Chaos, 2nd Edition, published by Wiley.

Table of Contents

Introduction

Part I Basic Concepts of Nonlinear Dynamics

An overview of nonlinear phenomena

Point attractors in autonomous systems

Limit cycles in autonomous systems

Periodic attractors in driven oscillators

Chaotic attractors in forced oscillators

Stability and bifurcations of equilibria and cycles

Part II Iterated Maps as Dynamical Systems

Stability and bifurcation of maps

Chaotic behaviour of one-and two-dimensional maps

Part III Flows, Outstructures and Chaos

The Geometry of Recurrence

The Lorenz system

Rosslers band

Geometry of bifurcations

Part IV Applications in the Physical Sciences

Subharmonic resonances of an offshore structure

Chaotic motions of an impacting system

Escape from a potential well

Appendix: Codimension 1 Bifurcations

Illustrated Glossary