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Type: Artigo de periódico
Title: Limit cycles bifurcating from a two-dimensional isochronous cylinder
Author: Llibre, J
Teixeira, MA
Abstract: The goal of this work is to illustrate the explicit implementation of a method for computing limit cycles which bifurcate from a continuum of isochronous periodic orbits forming a subset of R(n) of dimension k < n when we perturb it inside a class of C(2) differential systems. The method is based on the averaging theory. As far as we know, up to the present all the applications of this method for n > 2 have been performed by perturbing a linear center which fills a whole R(k) subset of R(n). Here we will perturb the cylinder x(2) + y(2) = 1 of R(3) = {(x, y, z) : x, y, z is an element of R} filled with periodic orbits. (C) 2009 Elsevier Ltd. All rights reserved.
Subject: Limit cycle
Periodic orbit
Isochronous center
Averaging method
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.aml.2009.01.035
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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