Bifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistor

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dc.contributor.authorBraga, Denis de Carvalho
dc.contributor.authorMello, Luis Fernando
dc.contributor.authorMessias, Marcelo [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal de Itajubá (UNIFEI)
dc.date.accessioned2014-05-20T13:23:33Z
dc.date.available2014-05-20T13:23:33Z
dc.date.issued2009-01-01
dc.description.abstractWe study the local codimension one, two, and three bifurcations which occur in a recently proposed Van der Pol-Duffing circuit (ADVP) with parallel resistor, which is an extension of the classical Chua's circuit with cubic nonlinearity. The ADVP system presents a very rich dynamical behavior, ranging from stable equilibrium points to periodic and even chaotic oscillations. Aiming to contribute to the understand of the complex dynamics of this new system we present an analytical study of its local bifurcations and give the corresponding bifurcation diagrams. A complete description of the regions in the parameter space for which multiple small periodic solutions arise through the Hopf bifurcations at the equilibria is given. Then, by studying the continuation of such periodic orbits, we numerically find a sequence of period doubling and symmetric homoclinic bifurcations which leads to the creation of strange attractors, for a given set of the parameter values. Copyright (C) 2009 Denis de Carvalho Braga et al.en
dc.description.affiliationUNESP Univ Estadual Paulista, Dept Matemat, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.affiliationUniv Fed Itajuba, Inst Sistemas Eletr & Energia, BR-37500903 Itajuba, MG, Brazil
dc.description.affiliationUniv Fed Itajuba, Inst Ciencias Exatas, BR-37500903 Itajuba, MG, Brazil
dc.description.affiliationUnespUNESP Univ Estadual Paulista, Dept Matemat, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipPró-Reitoria de Pesquisa da UNESP (PROPe UNESP)
dc.description.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.description.sponsorshipIdCNPq: 473747/2006-5
dc.description.sponsorshipIdCNPq: 478544/2007-3
dc.format.extent26
dc.identifierhttp://dx.doi.org/10.1155/2009/149563
dc.identifier.citationMathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 26, 2009.
dc.identifier.doi10.1155/2009/149563
dc.identifier.fileWOS000273462500001.pdf
dc.identifier.issn1024-123X
dc.identifier.lattes3757225669056317
dc.identifier.urihttp://hdl.handle.net/11449/7121
dc.identifier.wosWOS:000273462500001
dc.language.isoeng
dc.publisherHindawi Publishing Corporation
dc.relation.ispartofMathematical Problems in Engineering
dc.relation.ispartofjcr1.145
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.titleBifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistoren
dc.typeArtigo
dcterms.licensehttp://www.hindawi.com/journals/apm/apc/
dcterms.rightsHolderHindawi Publishing Corporation
unesp.author.lattes3757225669056317
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudentept

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Artigos - Matemática e Computação - FCT