The Hopf bifurcation in the Shimizu-Morioka system

External sources

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

External sources

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

Date

Authors

Pessoa, Claudio

Publisher

Springer

Type

Article

Access right

Acesso aberto

External sources

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

External sources

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

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.

Keywords

Hopf bifurcation , Limit cycles , Bifurcation diagram

Language

English

Citation

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

URI

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

Sponsors

MINECO/FEDER MTM

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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

Collections

São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas

Units

Unit

Instituto de Biociências, Letras e Ciências Exatas

IBILCE

Campus: São José do Rio Preto

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