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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/7100
Title: 
DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM
Author(s): 
Institution: 
  • Universidade Estadual Paulista (UNESP)
  • Universidade Federal de Itajubá (UNIFEI)
ISSN: 
0218-1274
Sponsorship: 
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
  • Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Sponsorship Process Number: 
CNPq: 478544/2007-3
Abstract: 
In 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.
Issue Date: 
1-Feb-2009
Citation: 
International Journal of Bifurcation and Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 19, n. 2, p. 497-515, 2009.
Time Duration: 
497-515
Publisher: 
World Scientific Publ Co Pte Ltd
Keywords: 
  • Chua's equations
  • Lyapunov coefficient
  • degenerate Hopf bifurcation
  • limit cycle
  • chaotic attractor
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/7100
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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