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Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2

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dc.contributor.authorLlibre, Jaume
dc.contributor.authorLopes, Bruno D. [UNESP]
dc.contributor.authorMoraes, Jaime R. de [UNESP]
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2015-03-18T15:53:16Z
dc.date.available2015-03-18T15:53:16Z
dc.date.issued2015-01-01
dc.description.abstractThe main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class of all cubic polynomial differential systems using the averaging theory. The computations of this work have been made with Mathematica and Maple. (C) 2014 Elsevier Inc. All rights reserved.en
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
dc.description.affiliationIBILCE UNESP, Dept Matemat, BR-15054000 Sao Paulo, Brazil
dc.description.affiliationUnespIBILCE UNESP, Dept Matemat, BR-15054000 Sao Paulo, Brazil
dc.description.sponsorshipMINECO/FEDER
dc.description.sponsorshipAGAUR
dc.description.sponsorshipICREA Academia
dc.description.sponsorshipFP7-PEOPLE-IRSES
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipprogram CSF-PVE
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdMINECO/FEDERMTM2008-03437
dc.description.sponsorshipIdMINECO/FEDERMTM2013-40998-P
dc.description.sponsorshipIdAGAUR2014 SGR568
dc.description.sponsorshipIdFP7-PEOPLE-IRSES318999
dc.description.sponsorshipIdFP7-PEOPLE-IRSES316338
dc.description.sponsorshipIdCAPES: 88881
dc.description.sponsorshipIdprogram CSF-PVE030454/2013-01
dc.description.sponsorshipIdCNPq: 472796/2013-5
dc.description.sponsorshipIdFEDER-UNAB-10-4E-378
dc.description.sponsorshipIdCAPES/GDU-7500/13-0
dc.description.sponsorshipIdFAPESP-2010/17956-1
dc.format.extent887-907
dc.identifierhttp://dx.doi.org/10.1016/j.amc.2014.11.029
dc.identifier.citationApplied Mathematics And Computation. New York: Elsevier Science Inc, v. 250, p. 887-907, 2015.
dc.identifier.doi10.1016/j.amc.2014.11.029
dc.identifier.issn0096-3003
dc.identifier.urihttp://hdl.handle.net/11449/116403
dc.identifier.wosWOS:000346241000077
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofApplied Mathematics And Computation
dc.relation.ispartofjcr2.300
dc.relation.ispartofsjr1,065
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectPolynomial vector fieldsen
dc.subjectLimit cyclesen
dc.subjectIsochronous centersen
dc.subjectPeriodic orbitsen
dc.subjectAveraging methoden
dc.titleLimit cycles of cubic polynomial differential systems with rational first integrals of degree 2en
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
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