Chaotic Behaviour of Deterministic Dissipative Systems

by Milos Marek, Igor Schreiber

Overview

Surveying both theoretical and experimental aspects of chaotic behavior, this book presents chaos as a model for many seemingly random processes in nature. Basic notions from the theory of dynamical systems, bifurcation theory and the properties of chaotic solutions are then described and illustrated by examples. A review of numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided. In addition, an extensive survey of experimental observation of chaotic behavior and methods of its analysis are used to stress universal features of the phenomenon.

Product Details

ISBN-13:	9780521438308
Publisher:	Cambridge University Press
Publication date:	07/20/1995
Edition description:	Reprint
Pages:	380
Product dimensions:	6.73(w) x 9.45(h) x 1.02(d)

Table of Contents

Introduction; 1. Differential equations, maps and asymptotic behaviour; 2. Transition from order to chaos; 3. Numerical methods for studies of parametric dependences, bifurcations and chaos; 4. Chaotic dynamics in experiments; 5. Forced and coupled chemical oscillators: a case study of chaos; 6. Chaos in distributed systems; Appendices; Bibliography; Index.

Editorial Reviews

"Among the rapidly growing number of books exhibiting different aspects of dynamically induced chaotic behavior, the book under review takes its own place for two reasons: First, it is mainly oriented toward applications. Second, it reflects a view and a set of results on this subject that were developed by the Prague research group studying dynamical systems and their applications." Alexander I. Khibnik, Quarterly Review of Biology

"...should be of use to experimentalists—as a comprehensive survey of the field up to around 1989." James D. Meiss, Mathematical Reviews

"...an excellent compendium of numerous contributions to the field of chaos science...the book reveals the continuing struggke to describe the physical universe in mathematical terms." Biophysical Journal

"This is a very well-written text of special interest to anyone interested in, or trying to model, non-periodic or chaotic behavior. Although this book is written in textbook format, it could serve either as a textbook or a very useful reference....Chaotic Behavior of Deterministic Dissipative Systems should be of interst to physicists, mathematicians, engineers, and biologists. Since it can serve as either a textbook or a useful reference, it should be made available to both individual and reference libraries." Applied Machanics Review (American Society of Mechanical Engineers)

"The book Chaotic Behaviour of Deterministic Dissipative Systems, is an excellent compendium of numerous contributions to the field of chaos science, mostly from the 1980's." Charles L. Webber, Jr., Biophysical Journal

From the Publisher