Uniqueness of limit cycles for sewing piecewise linear systems
Medrado, Joao Carlos (Universidade Federal de Goiás (Brazil). Instituto de Matemática e Estatística)
Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2015
Abstract:	This paper proves the uniqueness of limit cycles for sewing planar piecewise linear systems with two zones separated by a straight line, \Sigma, and only one \Sigma-singularity of monodromic type. The proofs are based in an extension of Rolle's Theorem for dynamical systems on the plane.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999
Note:	Agraïments: The first author is partially supported by the FAPEG, by the CNPq grant numbers 475623/2013-4 and 306615/2012-6 and, by the CAPES grant numbers CSF/PVE-88881.030454/2013-01 and PROCAD-88881.068462/2014-01. The second author is supported by the UNAB 10-4E-378 grants.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Non-smooth differential system ; Uniqueness of limit cycle ; Piecewise sewing planar linear differential system
Published in:	Journal of mathematical analysis and applications, Vol. 431 (2015) , p. 529-544, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2015.05.064

Postprint 17 p, 352.4 KB

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