On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:51:31Z
dc.date.available2018-12-11T16:51:31Z
dc.date.created2018-12-11T16:51:31Z
dc.date.issued2018-01-01
dc.identifierPublicacions Matematiques, v. 62, n. 1, p. 113-131, 2018.
dc.identifier2014-4350
dc.identifier0214-1493
dc.identifierhttp://hdl.handle.net/11449/170576
dc.identifier10.5565/PUBLMAT6211806
dc.identifier2-s2.0-85041019745
dc.identifier6682867760717445
dc.identifier0000-0003-2037-8417
dc.description.abstractIn this paper some qualitative and geometric aspects of nonsmooth vector felds theory are discussed. A Poincaré-Bendixson Theorem for a class of nonsmooth systems is presented. In addition, a minimal set in planar Filippov systems not predicted in classical Poincaré-Bendixson theory and whose interior is non-empty is exhibited. The concepts of limit sets, recurrence, and minimal sets for nonsmooth systems are defined and compared with the classical ones. Moreover some differences between them are pointed out.
dc.languageeng
dc.relationPublicacions Matematiques
dc.relation0,916
dc.rightsAcesso restrito
dc.sourceScopus
dc.subjectLimit sets
dc.subjectMinimal sets
dc.subjectNonsmooth vector fields
dc.subjectPoincaré-Bendixson theory
dc.titleOn Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields
dc.typeArtículos de revistas


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