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Publicação:
Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori

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dc.contributor.authorCarvalho, Tiago
dc.contributor.authorGonçalves, Luiz Fernando [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T19:40:18Z
dc.date.available2022-04-28T19:40:18Z
dc.date.issued2021-07-01
dc.description.abstractThe main goal of this paper is to present the behavior generated by piecewise smooth vector fields tangent to foliations. We consider two smooth foliations F1 and F2 that are coupled to produce a foliation composed by nested topological tori. Moreover, a piecewise smooth vector field composed of periodic orbits and tangent to these tori is considered. We perturb this piecewise vector field (and, consequently, the foliations) and the birth of either finite or infinitely many limit cycles for the 3D piecewise smooth vector field is observed.en
dc.description.affiliationDepartamento de Computação e Matemática; Faculdade de Filosofia Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Avenida Bandeirantes 3900
dc.description.affiliationInstituto de Biociências Letras e Ciências Exatas Universidade Estadual Paulista, Rua Cristóvão Colombo 2265
dc.description.affiliationUnespInstituto de Biociências Letras e Ciências Exatas Universidade Estadual Paulista, Rua Cristóvão Colombo 2265
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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.sponsorshipIdFAPESP: 2019/10269-3
dc.description.sponsorshipIdFAPESP: 2019/10450-0
dc.description.sponsorshipIdCNPq: 304809/2017-9
dc.identifierhttp://dx.doi.org/10.1007/s12346-021-00491-9
dc.identifier.citationQualitative Theory of Dynamical Systems, v. 20, n. 2, 2021.
dc.identifier.doi10.1007/s12346-021-00491-9
dc.identifier.issn1662-3592
dc.identifier.issn1575-5460
dc.identifier.scopus2-s2.0-85107135960
dc.identifier.urihttp://hdl.handle.net/11449/221762
dc.language.isoeng
dc.relation.ispartofQualitative Theory of Dynamical Systems
dc.sourceScopus
dc.subjectBifurcation
dc.subjectLimit cycles
dc.subjectPiecewise smooth vector field
dc.titleCreation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Torien
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0003-3653-6395[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas