Homogeneous polynomial vector fields of degree 2 on the 2-dimensional sphere
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Gomes Pessoa, Claudio (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date: 2006
Abstract: Let X be a homogeneous polynomial vector field of degree 2 on S2 having finitely many invariant circles. Then, we prove that each invariant circle is a great circle of S2, and at most there are two invariant circles. We characterize the global phase portrait of these vector fields. Moreover, we show that if X has at least an invariant circle then it does not have limit cycles.
Rights: Tots els drets reservats.
Language: Anglès
Document: article ; publishedVersion
Subject: Camps vectorials ; Vector fields
Published in: Extracta mathematicae, Vol. 21, Núm. 2 (2006) , p. 167-190, ISSN 0213-8743

Adreça alternativa: https://dialnet.unirioja.es/servlet/articulo?codigo=2276112

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 Record created 2013-07-19, last modified 2020-08-23

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