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Dynamical Systems V: Bifurcation Theory and Catastrophe Theory
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515
Titel
Dynamical Systems V ([EBook]) : Bifurcation Theory and Catastrophe Theory / edited by V. I. Arnol’d.
Added Personal Name
Arnold, Vladimir Igorevic , 1937-2010
Other name(s)
SpringerLink (Online service)
Veröffentl
Berlin, Heidelberg : Springer , 1994.
Physical Details
IX, 274 pages : online resource.
Reihe
Encyclopaedia of mathematical sciences
0938-0396 ; ; 5
ISBN
9783642578847
Summary Note
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.:
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Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-57884-7
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Schlagwörter:
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Analysis
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Analysis (Mathematics)
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Dynamical Systems
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Mathematical analysis
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Mathematics
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Statistical Physics
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Statistical Physics, Dynamical Systems and Complexity
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Authors:
Arnold, Vladimir Igorevic 1937-2010
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SpringerLink (Online service)
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Series:
Encyclopaedia of mathematical sciences
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515
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