Home > Articles > Published articles > Limit cycles bifurcation from isochronous surfaces of revolution in R^3 |
Date: | 2011 |
Abstract: | In this paper we study the number of limit cycles bifurcating from isochronous surfaces of revolution contained in R3, when we consider polynomial perturbations of arbitrary degree. The method for studying these limit cycles is based in the averaging theory and in the properties of Chebyshev systems. We present a new result on averaging theory and generalitzations of some classical Chebyshev systems which allow us to obtain the main results. |
Grants: | Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Limit cycle ; Periodic orbit ; Isochronous set ; Averaging method |
Published in: | Journal of mathematical analysis and applications, Vol. 381 (2011) , p. 414-426, ISSN 1096-0813 |
Postprint 17 p, 354.4 KB |