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DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM

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dc.contributor.authorMessias, Marcelo [UNESP]
dc.contributor.authorBraga, Denis de Carvalho
dc.contributor.authorMello, Luis Fernando
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal de Itajubá (UNIFEI)
dc.date.accessioned2014-05-20T13:23:31Z
dc.date.available2014-05-20T13:23:31Z
dc.date.issued2009-02-01
dc.description.abstractIn this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's differential equations with cubic nonlinearity. A detailed analytical description of the regions in the parameter space for which multiple small periodic solutions bifurcate from the equilibria of the system is obtained. As a consequence, a complete answer for the challenge proposed in [Moiola & Chua, 1999] is provided.en
dc.description.affiliationUNESP, Fac Ciencias & Tecnol, Dept Matemat Estat & Comp, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.affiliationUniversidade Federal de Itajubá (UNIFEI), Inst Sistemas Eletr & Energia, BR-37500903 Itajuba, MG, Brazil
dc.description.affiliationUniversidade Federal de Itajubá (UNIFEI), Inst Ciencias Exatas, BR-37500903 Itajuba, MG, Brazil
dc.description.affiliationUnespUNESP, Fac Ciencias & Tecnol, Dept Matemat Estat & Comp, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdCNPq: 478544/2007-3
dc.format.extent497-515
dc.identifier.citationInternational Journal of Bifurcation and Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 19, n. 2, p. 497-515, 2009.
dc.identifier.issn0218-1274
dc.identifier.lattes3757225669056317
dc.identifier.urihttp://hdl.handle.net/11449/7100
dc.identifier.wosWOS:000265940900003
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Bifurcation and Chaos
dc.relation.ispartofjcr1.501
dc.relation.ispartofsjr0,568
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectChua's equationsen
dc.subjectLyapunov coefficienten
dc.subjectdegenerate Hopf bifurcationen
dc.subjectlimit cycleen
dc.subjectchaotic attractoren
dc.titleDEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEMen
dc.typeArtigo
dcterms.licensehttp://www.worldscientific.com/page/authors/author-rights
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
dspace.entity.typePublication
unesp.author.lattes3757225669056317
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Ciências e Tecnologia, Presidente Prudentept
unesp.departmentMatemática e Computação - FCTpt

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