DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM


Autoria(s): Messias, Marcelo; Braga, Denis de Carvalho; Mello, Luis Fernando
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

01/02/2009

Resumo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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.

Formato

497-515

Identificador

International Journal of Bifurcation and Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 19, n. 2, p. 497-515, 2009.

0218-1274

http://hdl.handle.net/11449/7100

WOS:000265940900003

Idioma(s)

eng

Publicador

World Scientific Publ Co Pte Ltd

Relação

International Journal of Bifurcation and Chaos

Direitos

closedAccess

Palavras-Chave #Chua's equations #Lyapunov coefficient #degenerate Hopf bifurcation #limit cycle #chaotic attractor
Tipo

info:eu-repo/semantics/article