Limit cycles of continuous and discontinuous piecewise-linear differential systems in R³
De Freitas, Bruno R. (Universidade Federal de Goiás. Instituto de Matemática e Estatística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Medrado, Joao Carlos (Universidade Federal de Goiás. Instituto de Matemática e Estatística)

Date:	2018
Abstract:	We study the limit cycles of two families of piecewise-linear differential systems in R³ with two pieces separated by a plane Ʃ. In one family the differential systems are only continuous on the plane Ʃ, and in the other family they are only discontinuous on the plane Ʃ. The usual tool for studying these limit cycles is the Poincaré map, but here we shall use recent results which extend the averaging theory to continuous and discontinuous differential systems. All the computations have been checked with the algebraic manipulator mathematica.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycles ; Non-smooth differential systems ; Piecewise linear differential systems
Published in:	Journal of computational and applied mathematics, Vol. 338 (Aug. 2018) , p. 311-323, ISSN 0377-0427

DOI: 10.1016/j.cam.2018.01.028

Postprint 18 p, 507.4 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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