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DC Field | Value | Language |
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dc.contributor.author | Braga, Denis de Carvalho | - |
dc.contributor.author | Mello, Luis Fernando | - |
dc.contributor.author | Messias, Marcelo | - |
dc.date.accessioned | 2014-05-20T13:23:33Z | - |
dc.date.available | 2014-05-20T13:23:33Z | - |
dc.date.issued | 2009-01-01 | - |
dc.identifier | http://dx.doi.org/10.1155/2009/149563 | - |
dc.identifier.citation | Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 26, 2009. | - |
dc.identifier.issn | 1024-123X | - |
dc.identifier.uri | http://hdl.handle.net/11449/7121 | - |
dc.description.abstract | We 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.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | - |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | - |
dc.description.sponsorship | Pró-Reitoria de Pesquisa da UNESP (PROPe UNESP) | - |
dc.description.sponsorship | Fundação para o Desenvolvimento da UNESP (FUNDUNESP) | - |
dc.format.extent | 26 | - |
dc.language.iso | eng | - |
dc.publisher | Hindawi Publishing Corporation | - |
dc.source | Web of Science | - |
dc.title | Bifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistor | en |
dc.type | outro | - |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
dc.contributor.institution | Universidade Federal de Itajubá (UNIFEI) | - |
dc.description.affiliation | UNESP Univ Estadual Paulista, Dept Matemat, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil | - |
dc.description.affiliation | Univ Fed Itajuba, Inst Sistemas Eletr & Energia, BR-37500903 Itajuba, MG, Brazil | - |
dc.description.affiliation | Univ Fed Itajuba, Inst Ciencias Exatas, BR-37500903 Itajuba, MG, Brazil | - |
dc.description.affiliationUnesp | UNESP Univ Estadual Paulista, Dept Matemat, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil | - |
dc.description.sponsorshipId | CNPq: 473747/2006-5 | - |
dc.description.sponsorshipId | CNPq: 478544/2007-3 | - |
dc.identifier.doi | 10.1155/2009/149563 | - |
dc.identifier.wos | WOS:000273462500001 | - |
dc.rights.accessRights | Acesso aberto | - |
dc.identifier.file | WOS000273462500001.pdf | - |
dc.relation.ispartof | Mathematical Problems in Engineering | - |
Appears in Collections: | Artigos, TCCs, Teses e Dissertações da Unesp |
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