The Hopf bifurcation in the Shimizu-Morioka system
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pessoa, Claudio (Universidade Estadual Paulista. Departamento de Matemática)

Date:	2015
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.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999
Note:	Agraïments: The second author was partially supported by Program CAPES/DGU Process 8333/13-0 and by FAPESP Project 2011/13152-8
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Bifurcation diagram ; Hopf bifurcation ; Limit cycles
Published in:	Nonlinear Dynamics, Vol. 79 (2015) , p. 2197-2205, ISSN 1573-269X

DOI: 10.1007/s11071-014-1805-3

Postprint 12 p, 312.6 KB

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