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On the number of critical periods for planar polynomial systems

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dc.contributor.authorCima, Anna
dc.contributor.authorGasull, Armengol
dc.contributor.authorda Silva, Paulo R. [UNESP]
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:33:44Z
dc.date.available2014-05-20T15:33:44Z
dc.date.issued2008-10-01
dc.description.abstractIn this paper we get some lower bounds for the number of critical periods of families of centers which are perturbations of the linear one. We give a method which lets us prove that there are planar polynomial centers of degree l with at least 2[(l - 2)/2] critical periods as well as study concrete families of potential, reversible and Lienard centers. This last case is studied in more detail and we prove that the number of critical periods obtained with our approach does not. increases with the order of the perturbation. (C) 2007 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
dc.description.affiliationIBILCE UNESP, BR-15054000 São Paulo, Brazil
dc.description.affiliationUnespIBILCE UNESP, BR-15054000 São Paulo, Brazil
dc.format.extent1889-1903
dc.identifierhttp://dx.doi.org/10.1016/j.na.2007.07.031
dc.identifier.citationNonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V. Ltd, v. 69, n. 7, p. 1889-1903, 2008.
dc.identifier.doi10.1016/j.na.2007.07.031
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/11449/42286
dc.identifier.wosWOS:000258359300001
dc.language.isoeng
dc.publisherPergamon-Elsevier B.V. Ltd
dc.relation.ispartofNonlinear Analysis-theory Methods & Applications
dc.relation.ispartofjcr1.291
dc.rights.accessRightsAcesso restritopt
dc.sourceWeb of Science
dc.subjectperiod functionen
dc.subjectcritical periodsen
dc.subjectperturbationsen
dc.subjectpotential systemsen
dc.subjectreversible centersen
dc.subjectHamiltonian centersen
dc.subjectLienard centersen
dc.titleOn the number of critical periods for planar polynomial systemsen
dc.typeArtigopt
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderPergamon-Elsevier B.V. Ltd
dspace.entity.typePublication
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