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On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

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dc.contributor.authorEuzebio, Rodrigo D. [UNESP]
dc.contributor.authorLlibre, Jaume
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Autonoma Barcelona
dc.date.accessioned2015-10-21T13:14:36Z
dc.date.available2015-10-21T13:14:36Z
dc.date.issued2015-04-01
dc.description.abstractIn this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 <= N <= 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity. (C) 2014 Elsevier Inc. All rights reserved.en
dc.description.affiliationUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas (IBILCE), Departamento de Matemática, BR-1505400 Sao José do Rio Preto, SP, Brasil
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas (IBILCE), Departamento de Matemática, BR-1505400 Sao José do Rio Preto, SP, Brasil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipMCYT/FEDER
dc.description.sponsorshipAGAUR
dc.description.sponsorshipICREA Academia
dc.description.sponsorshipIdFAPESP: 2010/18015-6
dc.description.sponsorshipIdFAPESP: 2012/05635-1
dc.description.sponsorshipIdMCYT/FEDER: MTM2008-03437
dc.description.sponsorshipIdAGAUR: 2014SGR-568
dc.description.sponsorshipIdICREA Academia: FP7-PEOPLE-2012-IRSES 316338
dc.description.sponsorshipIdICREA Academia: 318999
dc.description.sponsorshipIdICREA Academia: FEDER-UNAB10-4E-378
dc.format.extent475-486
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S0022247X14010154
dc.identifier.citationJournal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 424, n. 1, p. 475-486, 2015.
dc.identifier.doi10.1016/j.jmaa.2014.10.077
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/11449/128859
dc.identifier.wosWOS:000348488700027
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal Of Mathematical Analysis And Applications
dc.relation.ispartofjcr1.138
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectNon-smooth differential systemen
dc.subjectLimit cycleen
dc.subjectPiecewise linear differential systemen
dc.titleOn the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight lineen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.author.orcid0000-0001-8083-5216[1]
unesp.author.orcid0000-0002-9511-5999[2]
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