Chaotic Dynamics

An Introduction

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Paperback | 6 May 1996 | Edition Number 2

At a Glance

Paperback
272 Pages

Edition Type
Revised

Dimensions(cm)
23.5 x 19.05 x 1.45

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Interest in chaotic dynamics has grown explosively in recent years. Applications to practically every scientific field have had far-reaching impact. As in the first edition, the authors present all the main features of chaotic dynamics using the damped, driven pendulum as the primary model. A special feature is the inclusion of both analytic and computer exercises with which the reader may expand upon the many numerical simulations included in the book. This allows learning through participation, without the extensive scientific background demanded by more advanced books. This second edition includes additional material on the analysis and characterization of chaotic data, and applications of chaos. Experimental data from a chaotic pendulum are analyzed using methods of nonlinear time series analysis. With the help of new computer programs provided in the book (and also available from one of the authors on an optional diskette), readers and students can learn about these methods and use them to characterize their own data. The second edition also explains methods for short-term prediction and control. Spatio-temporal chaos is now introduced with examples from fluid dynamics, crystal growth, and other areas. The number of references has more than doubled; solutions are included to selected exercises. This new edition of Chaotic dynamics can be used as a text for a unit on chaos for physics and engineering students at the second- and third-year level. Such a unit would fit very well into modern physics and classical mechanics courses.

Industry Reviews

'Chaotic Dynamics is refreshingly down-to-earth ... I recommend it to anyone who wishes to penetrate beneath the flashy surface of the popular image of chaos to the hardcore science beneath. The book makes an excellent text for physics or mathematics students, and its reliance on concrete examples offers a welcome antidote to the esotericism of many undergraduate science courses.' Times Higher Education Supplement 'The original text, published 1990, was the first quantitative introduction to chaos for science undergraduates. This has now been revised and skilfully extended ... Suitable as a source text for lecture courses.' Aslib Book List 'This book was a pleasure to review.' Physics Today 'The authors' express purpose was to fill the void in the literature on chaotic dynamics between the readable but technically light books, best exemplified by James Gleick's Chaos (Viking 1987) and the technically difficult books ... Gregory Baker and Jerry Gollub have accomplished this superbly and provided us with a text, or text supplement, suitable for the advanced undergraduate.' Physics Today 'It bridges the gap between the popular books and the technical tomes, by employing computer experiments in place of calculations, and by concentrating on examples ... Written by people for whom chaos is not an end but a means to the understanding of physical phenomena.' Times Higher Education Supplement

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You Can Find This Book In

Non-Fiction Science Physics Mathematics Applied Mathematics Chaos Theory Calculus & Mathematical Analysis Differential Calculus & Equations

Introduction
Some helpful tools
Visualization of the pendulumÆs dynamics
Toward an understanding of chaos
The characterization of chaotic attractors
Experimental characterization, prediction, and modification of chaotic states
Chaos broadly applied
Further reading
Numerical integration û Runge-Kutta method
Computer program listings
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Chaotic Dynamics

An Introduction

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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