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On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems

dc.contributor.authorGouveia, Márcio R.A. [UNESP]
dc.contributor.authorLlibre, Jaume
dc.contributor.authorNovaes, Douglas D.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2018-12-11T16:58:42Z
dc.date.available2018-12-11T16:58:42Z
dc.date.issued2015-11-15
dc.description.abstractIn this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system.en
dc.description.affiliationDepartamento de Matemática, IBILCE-UNESP, Rua C. Colombo, 2265
dc.description.affiliationDepartament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra
dc.description.affiliationDepartamento de Matemática, Universidade Estadual de Campinas, Cidade Universitária Zeferino Vaz, Rua Sérgio Baruque de Holanda, 651
dc.description.affiliationUnespDepartamento de Matemática, IBILCE-UNESP, Rua C. Colombo, 2265
dc.format.extent365-374
dc.identifierhttp://dx.doi.org/10.1016/j.amc.2015.09.022
dc.identifier.citationApplied Mathematics and Computation, v. 271, p. 365-374.
dc.identifier.doi10.1016/j.amc.2015.09.022
dc.identifier.file2-s2.0-84942856402.pdf
dc.identifier.issn0096-3003
dc.identifier.scopus2-s2.0-84942856402
dc.identifier.urihttp://hdl.handle.net/11449/172107
dc.language.isoeng
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.ispartofsjr1,065
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectDiscontinuous differential system
dc.subjectDisplacement function
dc.subjectInfinite periodic orbit
dc.subjectLimit cycle
dc.subjectPiecewise linear differential system
dc.titleOn limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systemsen
dc.typeArtigo
dspace.entity.typePublication
unesp.author.orcid0000-0002-9147-8442[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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