Existence of Poincaré maps in piecewise linear differential systems in R^n

Llibre, Jaume; Teruel, Antonio E.

dc.contributor.author	Llibre, Jaume
dc.contributor.author	Teruel, Antonio E.
dc.date.accessioned	2020-02-12T08:48:57Z
dc.date.available	2020-02-12T08:48:57Z
dc.identifier.uri	http://hdl.handle.net/11201/150864
dc.description.abstract	[eng] In this paper we present a relationship between the algebraic notion of proper system, the geometric notion of contact point and the dynamic notion of Poincaré map for piecewise linear differential systems. This allows to present sufficient conditions (which are also necessary under additional hypotheses) for the existence of Poincaré maps in piecewise linear differential systems. Moreover, an adequate parametrization of the Poincaré maps make such maps invariant under linear transformations.
dc.format	application/pdf
dc.relation.isformatof	Versió postprint del document publicat a: https://doi.org/10.1142/S0218127404010874
dc.relation.ispartof	International Journal of Bifurcation and Chaos, 2003, vol. 14, num. 8, p. 2843-2851
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	Existence of Poincaré maps in piecewise linear differential systems in R^n
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/acceptedVersion
dc.date.updated	2020-02-12T08:48:57Z
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.identifier.doi	https://doi.org/10.1142/S0218127404010874