Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System

Carmona, V.; Fernández-Sánchez, F.; Teruel, A.E.

dc.contributor.author	Carmona, V.
dc.contributor.author	Fernández-Sánchez, F.
dc.contributor.author	Teruel, A.E.
dc.date.accessioned	2020-02-12T09:25:00Z
dc.identifier.uri	http://hdl.handle.net/11201/150866
dc.description.abstract	[eng] The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use numerical techniques to show this existence, even in the case of continuous piecewise linear systems. In this paper we give an analytical proof of the existence of a reversible T-point heteroclinic cycle in a continuous piecewise linear version of the widely studied Michelson system. The principal ideas of this proof can be extended to other piecewise linear systems.
dc.format	application/pdf
dc.relation.isformatof	Reproducció del document publicat a: https://doi.org/10.1137/070709542
dc.relation.ispartof	Siam Journal On Applied Dynamical Systems, 2008, vol. 7, num. 3, p. 1032-1048
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 a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.date.updated	2020-02-12T09:25:01Z
dc.date.embargoEndDate	info:eu-repo/date/embargoEnd/2026-12-31
dc.embargo	2026-12-31
dc.rights.accessRights	info:eu-repo/semantics/embargoedAccess
dc.identifier.doi	https://doi.org/10.1137/070709542