Canard trajectories in 3D piecewise linear systems

Prohens, R.; Teruel, A.E.

dc.contributor.author	Prohens, R.
dc.contributor.author	Teruel, A.E.
dc.date.accessioned	2020-02-12T08:57:42Z
dc.date.available	2020-02-12T08:57:42Z
dc.identifier.uri	http://hdl.handle.net/11201/150865
dc.description.abstract	[eng] 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.
dc.format	application/pdf
dc.relation.isformatof	Reproducció del document publicat a: https://doi.org/10.3934/dcds.2013.33.4595
dc.relation.ispartof	Discrete and Continuous Dynamical Systems, 2013, vol. 33, num. 10, p. 4595-4611
dc.subject.classification	51 - Matemàtiques
dc.subject.classification	004 - Informàtica
dc.subject.other	51 - Mathematics
dc.subject.other	004 - Computer Science and Technology. Computing. Data processing
dc.title	Canard trajectories in 3D piecewise linear systems
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.date.updated	2020-02-12T08:57:42Z
dc.subject.keywords	Singular perturbation
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.identifier.doi	https://doi.org/10.3934/dcds.2013.33.4595