Nonlinear Dynamics and Chaos / Edition 2

Nonlinear Dynamics and Chaos / Edition 2

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

Covering one of the fastest growing areas of applied mathematics, Nonlinear Dynamics and Chaos: Second Edition, is a fully updated edition of this highly respected text. Covering a breadth of topics, ranging from the basic concepts to applications in the physical sciences, the book is highly illustrated and written in a clear and comprehensible style.
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Overview

Covering one of the fastest growing areas of applied mathematics, Nonlinear Dynamics and Chaos: Second Edition, is a fully updated edition of this highly respected text. Covering a breadth of topics, ranging from the basic concepts to applications in the physical sciences, the book is highly illustrated and written in a clear and comprehensible style.
* Provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos.

* Introduces the concepts of instabilities, bifurcations, and catastrophes.

* Each idea is carefully explained and supported by examples.

* Features many applications to a wide variety of scientific fields.

* Includes an illustrated glossary of geometrical dynamics.

* Features a supplementary bibliography of further reading.

* Assumes minimal background knowledge.
Nonlinear Dynamics and Chaos: Second Edition provides an excellent introduction to the subject for students of mathematics, engineering, physics and applied science. It will also appeal to the many researchers who work with computer models of systems that change over time.

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Product Details

ISBN-13:
9780471876847
Publisher:
Wiley
Publication date:
03/06/2002
Edition description:
REV
Pages:
460
Product dimensions:
5.90(w) x 8.90(h) x 1.30(d)

Meet the Author

Table of Contents

Preface.

Preface to the First Edition.

Acknowledgements from the First Edition.

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.

Illustrated Glossary.

Bibliography.

Online Resource.

Index.

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