The Hopf bifurcation in the Shimizu-Morioka system
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Data
2015-02-01
Autores
Llibre, Jaume
Pessoa, Claudio [UNESP]
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Editor
Springer
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.
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Palavras-chave
Hopf bifurcation, Limit cycles, Bifurcation diagram
Como citar
Nonlinear Dynamics, v. 79, n. 3, p. 2197-2205, 2015.