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On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones

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dc.contributor.authorBuzzi, C. A. [UNESP]
dc.contributor.authorLlibre, J.
dc.contributor.authorMedrado, J. C.
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal de Goiás (UFG)
dc.date.accessioned2014-05-20T15:31:03Z
dc.date.available2014-05-20T15:31:03Z
dc.date.issued2011-12-01
dc.description.abstractWe study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the number of limit cycles that bifurcate from a center, up to first order expansion of the displacement function. Moreover, this upper bound is reached. The main technique used is the averaging method. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
dc.description.affiliationIBILCE UNESP, BR-15054000 São Paulo, Brazil
dc.description.affiliationUniversidade Federal de Goiás (UFG), Inst Matemat & Estat, BR-74001970 Goiania, Go, Brazil
dc.description.affiliationUnespIBILCE UNESP, BR-15054000 São Paulo, Brazil
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.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipMICIIN
dc.description.sponsorshipAGAUR
dc.description.sponsorshipICREA Academia
dc.description.sponsorshipAUXPE-DGU
dc.description.sponsorshipIdFAPESP: 07/06896-5
dc.description.sponsorshipIdMICIIN: MTM2008-03437
dc.description.sponsorshipIdAGAUR: 2009SGR 410
dc.description.sponsorshipIdCAPES: PHB-2009-0025-PC
dc.description.sponsorshipIdAUXPE-DGU: 15/2010
dc.format.extent533-539
dc.identifierhttp://dx.doi.org/10.1016/j.matcom.2011.08.006
dc.identifier.citationMathematics and Computers In Simulation. Amsterdam: Elsevier B.V., v. 82, n. 4, p. 533-539, 2011.
dc.identifier.doi10.1016/j.matcom.2011.08.006
dc.identifier.issn0378-4754
dc.identifier.lattes6682867760717445
dc.identifier.orcid0000-0003-2037-8417
dc.identifier.urihttp://hdl.handle.net/11449/40298
dc.identifier.wosWOS:000299852400001
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofMathematics and Computers In Simulation
dc.relation.ispartofjcr1.476
dc.relation.ispartofsjr0,613
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectLimit cyclesen
dc.subjectAveraging theoryen
dc.subjectPiecewise linear systems with two zonesen
dc.titleOn the limit cycles of a class of piecewise linear differential systems in R-4 with two zonesen
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.lattes6682867760717445[1]
unesp.author.orcid0000-0003-2037-8417[1]

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