Nonlinear Dynamics and Chaos

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J. M. T. Thompson (University College London, UK) H. B. Stewart (The Ross Institute, New York)

Nonlinear Dynamics and Chaos

J. M. T. Thompson (University College London, UK), H. B. Stewart (The Ross Institute, New York)

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English

John Wiley & Sons Inc
19 December 2001

Differential calculus & equations; Non-linear science; Chaos theory

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

By: J. M. T. Thompson (University College London UK), H. B. Stewart (The Ross Institute, New York)
Imprint: John Wiley & Sons Inc
Country of Publication: United States
Edition: 2nd edition
Dimensions: Height: 229mm, Width: 159mm, Spine: 31mm
Weight: 765g
ISBN: 9780471876458
ISBN 10: 0471876453
Pages: 458
Publication Date: 19 December 2001
Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Undergraduate , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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.

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.

Reviews for Nonlinear Dynamics and Chaos

... 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)