Centers and limit cycles of vector fields defined on invariant spheres
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Data
2021-09-25
Autores
Buzzi, Claudio A
Rodero, Ana Livia
Torregrosa, Joan
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer
Resumo
The aim of this paper is the study of the center-focus and cyclicity problems inside the class X of 3-dimensional vector fields that admit a first integral that leaves invariant any sphere centered at the origin. We classify the centers of linear, quadratic homogeneous and a family of quadratic vector fields F ⊂ X, restricted to one of these spheres. Moreover, we show the existence of at least 4 limit cycles in family F.
Descrição
This version of the article has been accepted for publication, after peer
review (when applicable) but is not the Version of Record and does not reflect post-acceptance
improvements, or any corrections. The Version of Record is available online at:
http://dx.doi.org/10.1007/s00332-021-09751-z.
Palavras-chave
Vector fields on invariant spheres, Integrability, Center-focus problem, Local cyclicity
Como citar
Journal of Nonlinear Science volume 31, Article number: 92 (2021)