Degenerate hope bifurcations in Chua's system


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

Universidade Estadual Paulista (UNESP)

Data(s)

27/05/2014

27/05/2014

01/02/2009

Resumo

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. © 2009 World Scientific Publishing Company.

Formato

497-515

Identificador

http://dx.doi.org/10.1142/S0218127409023159

International Journal of Bifurcation and Chaos, v. 19, n. 2, p. 497-515, 2009.

0218-1274

http://hdl.handle.net/11449/70930

10.1142/S0218127409023159

2-s2.0-67449141160

Idioma(s)

eng

Relação

International Journal of Bifurcation and Chaos

Direitos

closedAccess

Palavras-Chave #Chaotic attractor #Chua's equations #Degenerate Hopf bifurcation #Limit cycle #Lyapunov coefficient #Control nonlinearities #Hopf bifurcation
Tipo

info:eu-repo/semantics/conferencePaper