Centers and limit cycles of vector fields defined on invariant spheres
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Springer
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Acesso aberto
Abstract
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.
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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.
Language
English
Citation
Journal of Nonlinear Science volume 31, Article number: 92 (2021)
