Article in Journal ART-2010-05

BibliographyAvrutin, Viktor; Schanz, Michael; Gardini, Laura: On a special type of border-collision bifurcations occurring at infinity.
In: Physica D. Vol. 239(13).
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology.
pp. 1083-1094, english.
Elsevier, July 2010.
DOI: 10.1016/j.physd.2010.02.015.
Article in Journal.
CR-SchemaJ.2 (Physical Sciences and Engineering)
G.2 (Discrete Mathematics)
KeywordsBorder-collision bifurcations; Piecewise-smooth maps; Piecewise-linear maps
Abstract

In piecewise-smooth dynamical systems, the regions of existence of a periodic orbit are typically parameter sub-spaces confined by border-collision bifurcations of this orbit. We demonstrate that additionally to the usual border-collision bifurcations occurring at finite points in the state space there exist also border-collision bifurcations occurring at infinity.

ContactViktor.Avrutin@informatik.uni-stuttgart.de
Department(s)University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
Project(s)AnT, OCiND
Entry dateMay 4, 2010
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