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Closing Lemma for piecewise smooth vector fields with a recurrent point

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dc.contributor.authorAntunes, A. A. [UNESP]
dc.contributor.authorCarvalho, T.
dc.contributor.authorGomide, O. M.L.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionIME-UFG
dc.date.accessioned2025-04-29T18:42:18Z
dc.date.issued2024-08-01
dc.description.abstractIn this paper we provide a positive answer for the C0-Closing Lemma in the context of n-dimensional piecewise smooth vector fields governed by the Filippov's rules. So, given a model presenting a nontrivially recurrent point it is possible to consider a C0-close perturbation of it possessing a closed trajectory. Also, we conclude the paper proving the existence of a closed orbit around a T-singularity.en
dc.description.affiliationIBILCE/UNESP, Zip Code 15054-000, São Jose do Rio Preto
dc.description.affiliationFFCLRP-USP, Zip Code 14040-901, Ribeirão Preto
dc.description.affiliationIME-UFG, Zip Code 74690-900, Goiânia
dc.description.affiliationUnespIBILCE/UNESP, Zip Code 15054-000, São Jose do Rio Preto
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: 2017/18255-6
dc.description.sponsorshipIdFAPESP: 2019/10269-3
dc.description.sponsorshipIdFAPESP: 2019/10450-0
dc.description.sponsorshipIdFAPESP: 2021/12395-6
dc.description.sponsorshipIdFAPESP: 2022/02819-6
dc.description.sponsorshipIdCNPq: 304809/2017-9
dc.description.sponsorshipIdCNPq: 305026/2020-8
dc.description.sponsorshipIdCNPq: 309378/2023-0
dc.description.sponsorshipIdCNPq: 438975/2018-9
dc.identifierhttp://dx.doi.org/10.1016/j.nahs.2024.101495
dc.identifier.citationNonlinear Analysis: Hybrid Systems, v. 53.
dc.identifier.doi10.1016/j.nahs.2024.101495
dc.identifier.issn1751-570X
dc.identifier.scopus2-s2.0-85189750390
dc.identifier.urihttps://hdl.handle.net/11449/299401
dc.language.isoeng
dc.relation.ispartofNonlinear Analysis: Hybrid Systems
dc.sourceScopus
dc.subjectClosing lemma
dc.subjectPiecewise smooth vector field
dc.subjectRecurrence
dc.titleClosing Lemma for piecewise smooth vector fields with a recurrent pointen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0003-3927-938X[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