Zero-Hopf bifurcation for a class of Lorenz-type systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pérez-Chavela, Ernesto (UAM-Iztapalapa(México). Departamento de Matemáticas)
Alfaro Aguilar, Felipe (UACM(México). Academia de Matemáticas)

Date:	2014
Abstract:	We apply the averaging theory to a class of three-dimensional autonomous quadratic polynomial differential systems known as Lorenz-type systems, and we prove the existence of a small amplitude periodic orbit bifurcating from a degenerate zero-Hopf equilibrium of these systems.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410 European Commission 316338 European Commission 318999
Note:	Agraïments: All authors has been partially supported Conacyt México, grant 128790
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycles ; Lorenz-type system ; Three-dimensional differential systems ; Zero-Hopf equilibrium
Published in:	Discrete and continuous dynamical systems. Series B, Vol. 19 Núm. 6 (2014) , p. 1731-1736, ISSN 1553-524X

DOI: 10.3934/dcdsb.2014.19.1731

Postprint 6 p, 584.8 KB

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