Titlebook: Dynamical Systems V; Bifurcation Theory a V. I. Arnol’d Book 1994 Springer-Verlag Berlin Heidelberg 1994 Bifurcation Theory.Bifurkationsthe

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Basic Conceptsy. This term, replacing the previously used terms ., and ., gained wide popularity after Zeeman (1976) suggested the use of the name . to unite singularity theory, bifurcation theory and their applications.

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The Theory of Bifurcations in the Work of Poincarér fields on the plane (saddle, node, focus) is the prototype for many classifications in catastrophe theory. The theory of bifurcations of periodic solutions, also created by Poincaré, anticipated the general theory of bifurcations, not only with respect to results, but also (and particularly) with

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Classifications of Singularities and Catastrophesnt the entire space of objects studied as a finite union of submanifolds of codimensions not greater than . (called .) and a remainder of codimension ⩾. + 1 so that within each class an object’s properties that are of interest to us do not change. Then all objects in typical, no more than .-paramete

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