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On piecewise smooth vector fields tangent to nested tori

dc.contributor.authorCarvalho, Tiago [UNESP]
dc.contributor.authorTeixeira, Marco A.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Federal de São Carlos (UFSCar)
dc.date.accessioned2018-12-11T16:43:16Z
dc.date.available2018-12-11T16:43:16Z
dc.date.issued2016-10-05
dc.description.abstractIn this paper we present a number of results involving 3D nonsmooth dynamical systems tangent to a foliation. We study one-parameter families of systems Zε passing through a specific model Z0 whose phase portrait is foliated by invariant nested tori. For each positive integer k we, explicitly, construct a family Zε k possessing exactly k nested tori.en
dc.description.affiliationFC–UNESP
dc.description.affiliationIMECC–UNICAMP
dc.description.affiliationUFSCar-campus Sorocaba
dc.description.affiliationUnespFC–UNESP
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdFAPESP: 2012/18780-0
dc.description.sponsorshipIdFAPESP: 2014/02134-7
dc.description.sponsorshipIdCNPq: 443302/2014-6
dc.description.sponsorshipIdCAPES: 88881.030454/2013-01
dc.format.extent4008-4029
dc.identifierhttp://dx.doi.org/10.1016/j.jde.2016.06.015
dc.identifier.citationJournal of Differential Equations, v. 261, n. 7, p. 4008-4029, 2016.
dc.identifier.doi10.1016/j.jde.2016.06.015
dc.identifier.issn1090-2732
dc.identifier.issn0022-0396
dc.identifier.scopus2-s2.0-84978999423
dc.identifier.urihttp://hdl.handle.net/11449/168833
dc.language.isoeng
dc.relation.ispartofJournal of Differential Equations
dc.relation.ispartofsjr2,525
dc.relation.ispartofsjr2,525
dc.rights.accessRightsAcesso restritopt
dc.sourceScopus
dc.subjectBifurcation
dc.subjectInvariant tori
dc.subjectLimit cycles
dc.subjectNonsmooth vector field
dc.titleOn piecewise smooth vector fields tangent to nested torien
dc.typeArtigopt
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Ciências, Baurupt

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