Article in Journal ART-2005-09

BibliographyAvrutin, V.; Schanz, M.: On special types of two- and three-parametric bifurcations in piecewise-smooth dynamical systems.
In: WSEAS Transactions on Mathematics. Vol. 3(4).
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology.
pp. 224-230, english.
WSEAS Press, July 2005.
Article in Journal.
CR-SchemaG.1.10 (Numerical Analysis Applications)
Keywordsmulti-parametric bifurcations, big bang bifurcations, co-dimension two bifurcations, co-dimension three bifurcations, period increment, period adding, piecewise smooth systems
Abstract

The aim of this paper is to present a brief overview about a special kind of two-parametric (or co-dimension two) bifurcations in piecewise-smooth dynamical systems. The characteristic property of these bifurcations is, that at the bifurcation point in a 2D parameter space an infinite number of bifurcation curves intersect. Several types of these bifurcations are discussed. Additionally, a new type of three parametric (or co-dimension three) bifurcations is reported.

ContactMichael.Schanz@informatik.uni-stuttgart.de Viktor.Avrutin@informatik.uni-stuttgart.de
Department(s)University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
Project(s)AnT
Entry dateMarch 14, 2006
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