
Dynamical Systems V
Bifurcation Theory and Catastrophe Theory
Springer (Publisher)
Published on 20. May 1999
Book
Paperback/Softback
IX, 274 pages
978-3-540-65379-0 (ISBN)
Description
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.
More details
Edition
Softcover reprint of the original 1st ed. 1994
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
IX, 274 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
441 gr
ISBN-13
978-3-540-65379-0 (9783540653790)
DOI
10.1007/978-3-642-57884-7
Schweitzer Classification
Other editions
Additional editions

V.I. Arnold | V.S. Afrajmovich | Yu.S. Il'yashenko
Dynamical Systems V
Bifurcation Theory and Catastrophe Theory
Book
06/1994
Springer
€106.99
Shipment within 10-15 days
Persons
Author
Editor
Translation
Content
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
.