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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/7121
Title: 
Bifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistor
Author(s): 
Institution: 
  • Universidade Estadual Paulista (UNESP)
  • Universidade Federal de Itajubá (UNIFEI)
ISSN: 
1024-123X
Sponsorship: 
  • Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
  • Pró-Reitoria de Pesquisa da UNESP (PROPe UNESP)
  • Fundação para o Desenvolvimento da UNESP (FUNDUNESP)
Sponsorship Process Number: 
  • CNPq: 473747/2006-5
  • CNPq: 478544/2007-3
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.
Issue Date: 
1-Jan-2009
Citation: 
Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 26, 2009.
Time Duration: 
26
Publisher: 
Hindawi Publishing Corporation
Source: 
http://dx.doi.org/10.1155/2009/149563
URI: 
http://hdl.handle.net/11449/7121
Access Rights: 
Acesso aberto
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/7121
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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