Web of Science: 7 citations, Scopus: 9 citations, Google Scholar: citations
Limit cycles bifurcation from isochronous surfaces of revolution in R^3
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Rebollo-Perdomo, Salomón (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

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

DOI: 10.1016/j.jmaa.2011.04.009


Postprint
17 p, 354.4 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2016-05-06, last modified 2022-02-13



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