Zero-Hopf bifurcation in a hyperchaotic Lorenz system
Cid-Montiel, Lorena (Wilfrid Laurier University(Canada). Department of Mathematics)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Stoica, Cristina (Wilfrid Laurier University(Canada). Department of Mathematics)

Date:	2014
Abstract:	We characterize the zero-Hopf bifurcation at the singular points of a parameter co-dimension four hyperchaotic Lorenz system. Using averaging theory, we find sufficient conditions so that at the bifurcation points two periodic solutions emerge and describe the stability of these orbits.
Grants:	Ministerio de Ciencia e Innovación MTM 2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Hyperchaotic Lorenz system ; Zero-Hopf bifurcation ; Periodic orbits ; Averaging theory
Published in:	Nonlinear Dynamics, Vol. 75 (2014) , p. 561-566, ISSN 1573-269X

DOI: 10.1007/s11071-013-1085-3

Postprint 9 p, 311.8 KB

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