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Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane

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dc.contributor.authorBuzzi, C. A. [UNESP]
dc.contributor.authorDe Carvalho, T. [UNESP]
dc.contributor.authorDa Silva, P. R. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:28:44Z
dc.date.available2014-05-27T11:28:44Z
dc.date.issued2013-04-01
dc.description.abstractThis paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By means of a regularization process we prove that hyperbolic closed poly-trajectories are limit sets of a sequence of limit cycles of smooth vector fields. In our approach the Poincaré Index for non-smooth vector fields is introduced. © 2013 Springer Science+Business Media New York.en
dc.description.affiliationUniversidade Estadual Paulista (UNESP) so Jos Do Rio Preto, So Paulo
dc.description.affiliationUniversidade Estadual Paulista (UNESP) Bauru, So Paulo
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP) so Jos Do Rio Preto, So Paulo
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP) Bauru, So Paulo
dc.format.extent173-193
dc.identifierhttp://dx.doi.org/10.1007/s10883-013-9169-4
dc.identifier.citationJournal of Dynamical and Control Systems, v. 19, n. 2, p. 173-193, 2013.
dc.identifier.doi10.1007/s10883-013-9169-4
dc.identifier.issn1079-2724
dc.identifier.issn1573-8698
dc.identifier.lattes6050955861168161
dc.identifier.lattes6682867760717445
dc.identifier.orcid0000-0002-1430-5986
dc.identifier.orcid0000-0003-2037-8417
dc.identifier.scopus2-s2.0-84880701318
dc.identifier.urihttp://hdl.handle.net/11449/74906
dc.identifier.wosWOS:000317862500002
dc.language.isoeng
dc.relation.ispartofJournal of Dynamical and Control Systems
dc.relation.ispartofjcr0.693
dc.relation.ispartofsjr0,316
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectclosed poly-trajectory
dc.subjectheteroclinic orbits
dc.subjectLimit cycles
dc.subjectnon-smooth vector fields
dc.subjectPoincaré index
dc.subjectsingular perturbation
dc.subjectvector fields
dc.subjectHeteroclinic orbit
dc.subjectLimit cycle
dc.subjectNon-smooth vector fields
dc.subjectPoincare
dc.subjectSingular perturbations
dc.subjectVector fields
dc.subjectTrajectories
dc.subjectVectors
dc.titleClosed poly-trajectories and Poincaré index of non-smooth vector fields on the planeen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights
unesp.author.lattes6050955861168161[3]
unesp.author.lattes6682867760717445[1]
unesp.author.orcid0000-0003-2037-8417[1]
unesp.author.orcid0000-0002-1430-5986[3]

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