Nonlinear Dynamics and Chaos

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

438 pages, parution le 10/01/2002 (2^eme édition)

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Résumé

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

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

Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	J.M.T. Thompson, H.B. Stewart
Parution	10/01/2002
Édition	2^eme édition
Nb. de pages	438
Format	15,2 x 22,8
Couverture	Broché
Poids	649g
Intérieur	Noir et Blanc
EAN13	9780471876847