Home > Articles > Published articles > On the periodic orbit bifurcating from a Hopf bifurcation in systems with two slow and one fast variables |
Date: | 2014 |
Abstract: | The Hopf bifurcation in slow-fast systems with two slow variables and one fast variable has been studied recently, mainly from a numerical point of view. Our goal is to provide an analytic proof of the existence of the zero Hopf bifurcation exhibited for such systems, and to characterize the stability or instability of the periodic orbit which borns in such zero Hopf bifurcation. Our proofs use the averaging theory. |
Grants: | Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-381 Ministerio de Economía y Competitividad MTM2011-22877 Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Zero Hopf bifurcation ; Averaging theory ; Singular perturbation |
Published in: | Applied Mathematics and Computation, Vol. 232 (2014) , p. 84-90, ISSN 1873-5649 |
Postprint 9 p, 570.0 KB |