Canard Trajectories in 3D piecewise linear systems
Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)
Teruel, Antonio E. (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)

Date:	2013
Abstract:	We present some results on singularly perturbed piecewise linear systems, similar to those obtained by the Geometric Singular Perturbation Theory. Unlike the differentiable case, in the piecewise linear case we obtain the global expression of the slow manifold Sε. As a result, we characterize the existence of canard orbits in such systems. Finally, we apply the above theory to a specific case where we show numerical evidences of the existence of a canard cycle.
Grants:	Ministerio de Ciencia y Tecnología MTM2011-22751
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Singular perturbation ; Canard solutions ; Piecewise linear systems
Published in:	Discrete and continuous dynamical systems. Series A, Vol. 33 Núm. 10 (2013) , p. 4595-4611, ISSN 1553-5231

DOI: 10.3934/dcds.2013.33.4595

Postprint 21 p, 638.6 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles