Encyclopaedia of Mathematical Sciences

Dynamical Systems V

Bifurcation Theory and Catastrophe Theory

Authors: Arnold, V.I., Afrajmovich, V.S., Il'yashenko, Y.S., Shil'nikov, L.P.

Editors: Arnold, V.I. (Ed.)

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About this book

Bifurcation theory and catastrophe theory are two of the best 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. Moreover, 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, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight.

Table of contents (11 chapters)

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-642-57884-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-540-18173-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-540-65379-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dynamical Systems V
Book Subtitle
Bifurcation Theory and Catastrophe Theory
Authors
Editors
  • V.I. Arnold
Translated by
Kazarinoff, N.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
5
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-57884-7
DOI
10.1007/978-3-642-57884-7
Hardcover ISBN
978-3-540-18173-6
Softcover ISBN
978-3-540-65379-0
Series ISSN
0938-0396
Edition Number
1
Number of Pages
IX, 274
Additional Information
Original Russian edition published by Vinitii, Moscow, 1986 Originally published as Volume 5 in the Series:Encyclopaedia of Mathematical Sciences.
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