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Hopf-zero bifurcations of reversible vector fields

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dc.contributor.authorBuzzi, C. A.
dc.contributor.authorTeixeira, M. A.
dc.contributor.authorYang, J.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionPeking Univ
dc.date.accessioned2014-05-20T15:26:50Z
dc.date.available2014-05-20T15:26:50Z
dc.date.issued2001-05-01
dc.description.abstractWe study the dynamics of a class of reversible vector fields having eigenvalues (0, alphai, -alphai) around their symmetric equilibria. We give a complete list of all normal forms for such vector fields, their versal unfoldings, and the corresponding bifurcation diagrams of the codimensional-one case. We also obtain some important conclusions on the existence of homoclinic and heteroclinic orbits, invariant tori and symmetric periodic orbits.en
dc.description.affiliationUNESP, IBILCE, Dept Math, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUNICAMP, IMECC, Dept Math, BR-13081970 Campinas, SP, Brazil
dc.description.affiliationPeking Univ, Inst Math, Beijing 100871, Peoples R China
dc.description.affiliationUnespUNESP, IBILCE, Dept Math, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.format.extent623-638
dc.identifierhttp://dx.doi.org/10.1088/0951-7715/14/3/310
dc.identifier.citationNonlinearity. Bristol: Iop Publishing Ltd, v. 14, n. 3, p. 623-638, 2001.
dc.identifier.doi10.1088/0951-7715/14/3/310
dc.identifier.issn0951-7715
dc.identifier.lattes6682867760717445
dc.identifier.orcid0000-0003-2037-8417
dc.identifier.urihttp://hdl.handle.net/11449/36914
dc.identifier.wosWOS:000168924100010
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofNonlinearity
dc.relation.ispartofjcr1.926
dc.relation.ispartofsjr1,587
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleHopf-zero bifurcations of reversible vector fieldsen
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/page/copyright
dcterms.rightsHolderIop Publishing Ltd
dspace.entity.typePublication
unesp.author.lattes6682867760717445[1]
unesp.author.orcid0000-0003-2037-8417[1]
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