Zero-Hopf bifurcations in a hyperchaotic Lorenz system II
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Cândido, Murilo R. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2018
Abstract:	Recently sixteen 3-dimensional differential systems exhibiting chaotic motion and having no equilibria have been studied, and it has been graphically observed that these systems have a period-doubling cascade of periodic orbits providing the route to their chaotic motions. Here using new results on the averaging theory we prove that these systems exhibit, for some values of their parameters different to the ones having chaotic motion, either a zero–Hopf or a Hopf bifurcation, and graphically we observed that the periodic orbit starting in those bifurcations is at the beginning of the mentioned period–doubling cascade.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; Hyperchaotic Lorenz system ; Periodic orbit ; Zero-Hopf bifurcation
Published in:	International journal of nonlinear science, Vol. 25, issue 1 (2018) , p. 3-26, ISSN 1749-3889

Postprint 27 p, 834.6 KB

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