The Hopf bifurcation in the Shimizu-Morioka system
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
21/10/2015
21/10/2015
01/02/2015
|
| Resumo |
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Processo FAPESP: 2011/13152-8 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. |
| Formato |
2197-2205 |
| Identificador |
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 http://dx.doi.org/10.1007/s11071-014-1805-3 WOS:000349244900038 |
| Idioma(s) |
eng |
| Publicador |
Springer |
| Relação |
Nonlinear Dynamics |
| Direitos |
openAccess |
| Palavras-Chave | #Hopf bifurcation #Limit cycles #Bifurcation diagram |
| Tipo |
info:eu-repo/semantics/article |
