The Hopf bifurcation in the Shimizu-Morioka system

Llibre, Jaume; Pessoa, Claudio

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/128854

Title:

The Hopf bifurcation in the Shimizu-Morioka system

Author(s):

Institution:

Univ Autonoma Barcelona
Universidade Estadual Paulista (UNESP)

ISSN:

0924-090X

Sponsorship:

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)

Sponsorship Process Number:

MINECO/FEDER MTM: 2008-03437
AGAUR: 2014SGR 568
CAPES: Process 8333/13-0
FAPESP: 2011/13152-8
: FP7 PEOPLE-2012-IRSES: 316338
FP7 PEOPLE-2012-IRSES: 318999

Abstract:

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.

Issue Date:

1-Feb-2015

Citation:

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

Time Duration:

2197-2205

Publisher:

Springer

Keywords:

Hopf bifurcation
Limit cycles
Bifurcation diagram

Source:

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

URI:

Access Rights:

Acesso aberto

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/128854

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