Persistence of periodic orbits with sliding or sewing by singular perturbation

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:57:08Z
dc.date.available2018-12-11T16:57:08Z
dc.date.created2018-12-11T16:57:08Z
dc.date.issued2015-01-01
dc.identifierJournal of Mathematical Analysis and Applications, v. 423, n. 2, p. 1166-1182, 2015.
dc.identifier1096-0813
dc.identifier0022-247X
dc.identifierhttp://hdl.handle.net/11449/171780
dc.identifier10.1016/j.jmaa.2014.10.023
dc.identifier2-s2.0-84922673903
dc.identifier8032879915906661
dc.identifier0000-0002-8723-8200
dc.description.abstractIn this paper we deal with piecewise smooth singularly perturbed systems. We study the effect of singular perturbation when the phase portrait of the reduced problem has periodic orbits with sliding or sewing points. Counter-examples are used to show that in general, only one parameter is not sufficient to ensure the persistence of periodic orbits. With an additional parameter, derived from the Sotomayor-Teixeira regularization, we get conditions which guarantee the persistence.
dc.languageeng
dc.relationJournal of Mathematical Analysis and Applications
dc.relation1,103
dc.rightsAcesso restrito
dc.sourceScopus
dc.subjectFilippov systems
dc.subjectPeriodic motion with sliding or with sewing
dc.subjectRegularization
dc.subjectSingular perturbation
dc.titlePersistence of periodic orbits with sliding or sewing by singular perturbation
dc.typeArtículos de revistas


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