On nonsmooth perturbations of nondegenerate planar centers
Novaes, Douglas D. (Universidade Estadual de Campinas (Brasil). Departamento de Matemática)

Date:	2014
Abstract:	We provide sufficient conditions for the existence of limit cycles of non-smooth perturbed planar centers, when the set of discontinuity is an algebraic variety. It is introduced a mechanism which allows us to deal with such system, even in higher dimension. The main tool used in this paper is the averaging method. Two applications are given in careful detail.
Note:	Agraïments: Supported by a FAPESP-BRAZIL grant 2012/10231-7.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Algebraic variety ; Averaging method ; Discontinuous differential system ; Nondegenerate center ; Periodic solution
Published in:	Publicacions matemàtiques, Vol. Extra (2014) , p. 395-420, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/287237
DOI: 10.5565/PUBLMAT_Extra14_20

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles