Name: dynamical systems v
SKU: 3432342
Price: 118.33 EUR
Availability: InStock
ISBN: 9783540181736

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Type

Physical Book

Publisher

Springer

Language

English

Pages

274

ISBN

3540181733

ISBN13

9783540181736

Synopsis "dynamical systems v"

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 1970s, 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 have given a masterly exposition of these two theories, with penetrating insight.

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