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dc.contributor.authorCima, Anna-
dc.contributor.authorGasull, Armengol-
dc.contributor.authorda Silva, Paulo R.-
dc.date.accessioned2014-05-20T15:33:44Z-
dc.date.accessioned2016-10-25T18:10:25Z-
dc.date.available2014-05-20T15:33:44Z-
dc.date.available2016-10-25T18:10:25Z-
dc.date.issued2008-10-01-
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.issn0362-546X-
dc.identifier.urihttp://hdl.handle.net/11449/42286-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/42286-
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.format.extent1889-1903-
dc.language.isoeng-
dc.publisherPergamon-Elsevier B.V. Ltd-
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.typeoutro-
dc.contributor.institutionUniv Autonoma Barcelona-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
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.identifier.doi10.1016/j.na.2007.07.031-
dc.identifier.wosWOS:000258359300001-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofNonlinear Analysis-theory Methods & Applications-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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