The flow curvature method applied to canard explosion
Ginoux, Jean-Marc (Université du Sud(France). Laboratoire Protee)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2011
Abstract:	The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curvature Method. This result will be then exemplified with the classical Van der Pol oscillator.
Grants:	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:	Geometric Singular Perturbation Method ; Flow Curvature Method ; Singularly perturbed dynamical systems ; Canard solutions
Published in:	Journal of Physics. A. Mathematical and General, Vol. 44 (2011) , p. 465203, ISSN 1361-6447

DOI: 10.1088/1751-8113/44/46/465203

Postprint 15 p, 728.8 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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