Overview

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to ""hot topics"", such as the characterization of personalities and the difference between a ""genius"" and a ""maniac"". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.

Full Product Details

Author:   V.I. Arnold ,  V.I. Arnold ,  N. Kazarinoff ,  V.S. Afrajmovich
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1994
Volume:   No. 5
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.444kg
ISBN:  

9783540653790

ISBN 10:   3540653791
Pages:   274
Publication Date:   20 May 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

I. Bifurcation Theory by V.I. Arnol'd, V.S. Afrajmovich, Yu.S. Il'yashenko, L.P. Shil'nikov.- II. Catastrophe Theory by V.I. Arnol'd.

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