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On the appearance of a Hopf bifurcation in a non-ideal mechanical problem

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dc.contributor.authorDantas, MJH
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.institutionUniversidade Federal de Uberlândia (UFU)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-02-26T17:16:37Z
dc.date.accessioned2014-05-20T14:16:03Z
dc.date.available2014-02-26T17:16:37Z
dc.date.available2014-05-20T14:16:03Z
dc.date.issued2003-09-01
dc.description.abstractIn this paper we studied a non-ideal system with two degrees of freedom consisting of a dumped nonlinear oscillator coupled to a rotatory part. We investigated the stability of the equilibrium point of the system and we obtain, in the critical case, sufficient conditions in order to obtain an appropriate Normal Form. From this, we get conditions for the appearance of Hopf Bifurcation when the difference between the driving torque and the resisting torque is small. It was necessary to use the Bezout Theorem, a classical result of Algebraic Geometry, in the obtaining of the foregoing results. (C) 2003 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUFU, Fac Matemat, BR-38408100 Uberlandia, MG, Brazil
dc.description.affiliationUNESP, Dept Estatistica Matemat Aplicada & Computacao, Inst Geociencias & Ciências Exatas, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationUNICAMP, Mech Design Dept, BR-13083970 Campinas, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Estatistica Matemat Aplicada & Computacao, Inst Geociencias & Ciências Exatas, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent493-503
dc.identifierhttp://dx.doi.org/10.1016/S0093-6413(03)00041-7
dc.identifier.citationMechanics Research Communications. Oxford: Pergamon-Elsevier B.V., v. 30, n. 5, p. 493-503, 2003.
dc.identifier.doi10.1016/S0093-6413(03)00041-7
dc.identifier.issn0093-6413
dc.identifier.urihttp://hdl.handle.net/11449/24820
dc.identifier.wosWOS:000184602500010
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofMechanics Research Communications
dc.relation.ispartofjcr1.640
dc.relation.ispartofsjr0,814
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectHopf bifurcationpt
dc.subjectnon-ideal problemspt
dc.subjectcenter manifoldpt
dc.titleOn the appearance of a Hopf bifurcation in a non-ideal mechanical problemen
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.orcid0000-0002-9796-3609[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentEstatística, Matemática Aplicada e Computação - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas