The Hopf bifurcation in the Shimizu-Morioka system

Llibre, Jaume; Pessoa, Claudio [UNESP]

Artigo

Registro en:

http://link.springer.com/article/10.1007%2Fs11071-014-1805-3

Nonlinear Dynamics, v. 79, n. 3, p. 2197-2205, 2015.

0924-090X

http://hdl.handle.net/11449/128854

10.1007/s11071-014-1805-3

WOS:000349244900038

3724937886557424

0000-0001-6790-1055

https://repositorioslatinoamericanos.uchile.cl/handle/2250/8778199

Autor

Llibre, Jaume

Pessoa, Claudio [UNESP]

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

We study the local Hopf bifurcations of codimension one and two, which occur in the Shimizu-Morioka system. This system is a simplified model proposed for studying the dynamics of the well-known Lorenz system for large Rayleigh numbers. We present an analytic study and their bifurcation diagrams of these kinds of Hopf bifurcation, showing the qualitative changes in the dynamics of its solutions for different values of the parameters.

MINECO/FEDER MTM

AGAUR

ICREA Academia

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

MINECO/FEDER MTM: 2008-03437

AGAUR: 2014SGR 568

CAPES: Process 8333/13-0

FAPESP: 2011/13152-8

: FP7 PEOPLE-2012-IRSES: 316338