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Algebraic Limit Cycles in Piecewise Linear Differential Systems

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dc.contributor.authorBuzzi, Claudio A. [UNESP]
dc.contributor.authorGasull, Armengol
dc.contributor.authorTorregrosa, Joan
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Autonoma Barcelona
dc.date.accessioned2018-11-26T17:49:06Z
dc.date.available2018-11-26T17:49:06Z
dc.date.issued2018-03-01
dc.description.abstractThis paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some one-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed.en
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, Sao Jose Do Rio Preto, Brazil
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, Sao Jose Do Rio Preto, Brazil
dc.description.sponsorshipMINECO
dc.description.sponsorshipAGAUR grants
dc.description.sponsorshipEuropean Community
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdMINECO: MTM2013-40998-P
dc.description.sponsorshipIdMINECO: MTM2016-77278-P
dc.description.sponsorshipIdAGAUR grants: 2014 SGR568
dc.description.sponsorshipIdAGAUR grants: 2017 SGR1617
dc.description.sponsorshipIdEuropean Community: FP7-PEOPLE-2012-IRSES 316338
dc.description.sponsorshipIdEuropean Community: 318999
dc.description.sponsorshipIdFAPESP: 2013/24541-0
dc.description.sponsorshipIdFAPESP: 2017/03352-6
dc.format.extent14
dc.identifierhttp://dx.doi.org/10.1142/S0218127418500396
dc.identifier.citationInternational Journal Of Bifurcation And Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 28, n. 3, 14 p., 2018.
dc.identifier.doi10.1142/S0218127418500396
dc.identifier.issn0218-1274
dc.identifier.lattes6682867760717445
dc.identifier.orcid0000-0003-2037-8417
dc.identifier.urihttp://hdl.handle.net/11449/164099
dc.identifier.wosWOS:000429823800011
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal Of Bifurcation And Chaos
dc.relation.ispartofsjr0,568
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectNonsmooth differential system
dc.subjectpiecewise linear differential system
dc.subjectalgebraic limit cycle
dc.subjecthyperbolic and double limit cycle
dc.subjectsaddle-node bifurcation of limit cycles
dc.titleAlgebraic Limit Cycles in Piecewise Linear Differential Systemsen
dc.typeArtigo
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
unesp.author.lattes6682867760717445[1]
unesp.author.orcid0000-0002-2753-1827[3]
unesp.author.orcid0000-0003-2037-8417[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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