Existence of homoclinic connections in continuous piecewise linear systems
Carmona, Victoriano (Universidad de Sevilla. Departamento de Matemática Aplicada II)
Fernández-Sánchez, Fernando (Universidad de Sevilla. Departamento de Matemática Aplicada II)
García-Medina, Elisabeth (Universidad de Sevilla. Departamento de Matemática Aplicada II)
Teruel, Antonio E. (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)

Date:	2010
Abstract:	Numerical methods are often used to put in evidence the existence of global connections in differential systems. The principal reason is that the corresponding analytical proofs are usually very complicated. In this work we give an analytical proof of the existence of a pair of homoclinic connections in a continuous piecewise linear system, which can be considered to be a version of the widely studied Michelson system. Although the computations developed in this proof are specific to the system, the techniques can be extended to other piecewise linear systems.
Grants:	Ministerio de Ciencia y Tecnología MTM2006-00847 Ministerio de Ciencia y Tecnología MTM2007-64193 Ministerio de Ciencia y Tecnología MTM2005-06098-C02-1
Note:	Altres ajuts: Conserjería de Educación y Ciencia de la Junta de Andalucía (TIC-0130, EXC/2005/FQM-872, P08-FQM-03770)
Note:	Altres ajuts: Universitat de les Illes Balears grant UIB2005/6 and by CAIB grand number CEH-064864
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Chaos, Vol. 20, Issue 1 (March 2010) , p. 013124, ISSN 1089-7682

DOI: 10.1063/1.3339819

Postprint 21 p, 879.8 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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