Home > Articles > Published articles > On nonsmooth perturbations of nondegenerate planar centers |
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 |
Postprint 20 p, 395.4 KB |
26 p, 274.2 KB |