On the periodic solutions of the Milchelson continuous and discontinuous piecewise linear differential system
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Oliveira, Regilene (Universidade de Sâo Paulo (Brazil). Departamento de Matemática)
Rodrigues, Camila A. B. (Universidade de São Paulo (Brasil). Departamento de Matemática)

Date:	2018
Abstract:	Applying new results from the averaging theory for continuous and discontinuous differential systems, we study the periodic solutions of two distinct versions of the Michel- son differential system: a Michelson continuous piecewise linear differential system and a Michelson discontinuous piecewise linear differential system. The tools here used can be applied to general nonsmooth differential systems.
Grants:	European Commission 318999 European Commission 316338 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:	Averaging theory ; Continuous piecewise linear differential system ; Discontinuous piecewise linear differential system ; Hopf bifurcation ; Limit cycles ; Michelson system
Published in:	Computational & Applied Mathematics, Vol. 37, issue 2 (May 2018) , p. 1550-1561, ISSN 1807-0302

DOI: 10.1007/s40314-016-0413-x

Postprint 16 p, 360.0 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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