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Limit cycles and chaos in planar hybrid systems

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dc.contributor.authorLlibre, Jaume
dc.contributor.authorSantana, Paulo [UNESP]
dc.contributor.institutionUniversitat Autònoma de Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2025-04-29T18:48:57Z
dc.date.issued2025-01-01
dc.description.abstractIn this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also provide examples of these hybrid systems exhibiting chaotic dynamics.en
dc.description.affiliationDepartament de Matemàtiques Facultat de Ciències Universitat Autònoma de Barcelona, Bellaterra
dc.description.affiliationIBILCE-UNESP, CEP 15054-000, S. J. Rio Preto
dc.description.affiliationUnespIBILCE-UNESP, CEP 15054-000, S. J. Rio Preto
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipAgència de Gestió d'Ajuts Universitaris i de Recerca
dc.description.sponsorshipAgencia Estatal de Investigación
dc.description.sponsorshipIdFAPESP: 2019/10269-3
dc.description.sponsorshipIdFAPESP: 2021/01799-9
dc.description.sponsorshipIdAgència de Gestió d'Ajuts Universitaris i de Recerca: 2021SGR00113
dc.description.sponsorshipIdFAPESP: 2022/14353-1
dc.description.sponsorshipIdAgencia Estatal de Investigación: PID2022-136613NB-100
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2024.108382
dc.identifier.citationCommunications in Nonlinear Science and Numerical Simulation, v. 140.
dc.identifier.doi10.1016/j.cnsns.2024.108382
dc.identifier.issn1007-5704
dc.identifier.scopus2-s2.0-85205914861
dc.identifier.urihttps://hdl.handle.net/11449/300219
dc.language.isoeng
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.sourceScopus
dc.subjectChaos
dc.subjectHybrid dynamical systems
dc.subjectLimit cycles
dc.subjectChaotic dynamics
dc.subjectHybrid differential systems
dc.subjectLimit-cycle
dc.titleLimit cycles and chaos in planar hybrid systemsen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0001-6942-351X[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