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Nonlinear Dynamics and Chaos, 2nd Edition

Nonlinear Dynamics and Chaos, 2nd Edition

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

ISBN: 978-0-471-87684-7

Feb 2002

460 pages

In Stock

$109.95

Description

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
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.
Most up-tp-date edition since 1986.  Covers developments in the field since the first edition.
??much more extensive than before..? (The Mathematical Review, March 2004)

"The fully updated second edition provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos." (International Journal of Environmental Analytical Chemistry, Vol.84, No.14 – 15, 10 – 20 December 2004)

  • 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