Persistence of periodic orbits with sliding or sewing by singular perturbation

dc.contributor.authorCardin, Pedro T. [UNESP]
dc.contributor.authorde Moraes, Jaime R. [UNESP]
dc.contributor.authorda Silva, Paulo R. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:57:08Z
dc.date.available2018-12-11T16:57:08Z
dc.date.issued2015-01-01
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.en
dc.description.affiliationDepartamento de Matemática, Faculdade de Engenharia de Ilha Solteira, UNESP - Univ. Estadual Paulista, Rua Rio de Janeiro, 266
dc.description.affiliationDepartamento de Matemática, Instituto de Biociências Letras e Ciências Exatas, UNESP - Univ. Estadual Paulista, Rua C. Colombo, 2265
dc.description.affiliationUnespDepartamento de Matemática, Faculdade de Engenharia de Ilha Solteira, UNESP - Univ. Estadual Paulista, Rua Rio de Janeiro, 266
dc.description.affiliationUnespDepartamento de Matemática, Instituto de Biociências Letras e Ciências Exatas, UNESP - Univ. Estadual Paulista, Rua C. Colombo, 2265
dc.format.extent1166-1182
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2014.10.023
dc.identifier.citationJournal of Mathematical Analysis and Applications, v. 423, n. 2, p. 1166-1182, 2015.
dc.identifier.doi10.1016/j.jmaa.2014.10.023
dc.identifier.issn1096-0813
dc.identifier.issn0022-247X
dc.identifier.lattes8032879915906661
dc.identifier.orcid0000-0002-8723-8200
dc.identifier.scopus2-s2.0-84922673903
dc.identifier.urihttp://hdl.handle.net/11449/171780
dc.language.isoeng
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.relation.ispartofsjr1,103
dc.rights.accessRightsAcesso 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 perturbationen
dc.typeArtigo
unesp.author.lattes8032879915906661[1]
unesp.author.orcid0000-0002-8723-8200[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - FEISpt
unesp.departmentMatemática - IBILCEpt

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