Nonlinear Dynamics and Chaos,9780471876847

Nonlinear Dynamics and Chaos

by ;
Edition: 2nd
ISBN13: 9780471876847
ISBN10: 0471876844
Format: Paperback
Pub. Date: 2002-02-15
Publisher(s): WILEY
List Price: $129.01

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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

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