The Hopf bifurcation in the Shimizu-Morioka system

Autor(es)

Llibre, Jaume ^[1] ; Pessoa, Claudio ^[2]

Afiliação do(s) autor(es)

^[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain

^[2] Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR DYNAMICS; v. 79, n. 3, p. 2197-2205, FEB 2015.
• Citações Web of Science: 9

Resumo

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. (AU)

• Processo FAPESP: 11/13152-8 - Teoria qualitativa de campos de vetores polinomiais
• Beneficiário: Cláudio Gomes Pessoa
• Modalidade de apoio: Auxílio à Pesquisa - Regular