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＜電子ブック＞
Dynamical Systems V : Bifurcation Theory and Catastrophe Theory / by V.I. Arnold, V.S. Afrajmovich, Yu.S. Il'yashenko, L.P. Shil'nikov ; edited by V.I. Arnold

版	1st ed. 1994.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1994
本文言語	英語
大きさ	IX, 274 p : online resource
著者標目	*Arnold, V.I author Afrajmovich, V.S author Il'yashenko, Yu.S author Shil'nikov, L.P author Arnold, V.I editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:System theory LCSH:Mathematical physics FREE:Analysis FREE:Complex Systems FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-642-57884-7

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