Bifurcation of sliding periodic orbits in periodically forced discontinuous systems
type: Item
instance of: scholarly article
title: Bifurcation of sliding periodic orbits in periodically forced discontinuous systems
zbMATH Open document ID: 1263.34053
author: Michal Fečkan
author: Michal Pospíšil
published in: Nonlinear Analysis. Real World Applications
publication date: 2012-12-28T00:00:00Z
review text: In the context of bifurcation theory for discontinuous systems, the paper studies the bifurcation of a periodic sliding solution from a sliding periodic solution of the unperturbed equation. To this aim, a sliding Poincaré-Andronov-Melnikov function is derived. The method implies no restriction on the dimension of spatial variables and parameters. An illustrative example of such bifurcation in a three-dimensional piecewise linear discontinuous problem is presented.
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34A36
zbMATH DE Number: 6118939
zbMATH Keywords: sliding periodic orbit
zbMATH Keywords: discontinuous systems
zbMATH Keywords: bifurcation
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2012.05.009
OpenAlex ID: W1971543981
DOI: 10.1016/J.NONRWA.2012.05.009
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description: scientific article; zbMATH DE number 6118939