Centers and Limit Cycles of Vector Fields Defined on Invariant Spheres

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.contributorUniversitat Autònoma de Barcelona
dc.contributorCentre de Recerca Matemàtica
dc.date.accessioned2022-04-28T19:44:54Z
dc.date.accessioned2022-12-20T01:25:00Z
dc.date.available2022-04-28T19:44:54Z
dc.date.available2022-12-20T01:25:00Z
dc.date.created2022-04-28T19:44:54Z
dc.date.issued2021-12-01
dc.identifierJournal of Nonlinear Science, v. 31, n. 6, 2021.
dc.identifier1432-1467
dc.identifier0938-8974
dc.identifierhttp://hdl.handle.net/11449/222485
dc.identifier10.1007/s00332-021-09751-z
dc.identifier2-s2.0-85115725537
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5402615
dc.description.abstractThe 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.
dc.languageeng
dc.relationJournal of Nonlinear Science
dc.sourceScopus
dc.subjectCenter-focus problem
dc.subjectIntegrability
dc.subjectLocal cyclicity
dc.subjectVector fields on invariant spheres
dc.titleCenters and Limit Cycles of Vector Fields Defined on Invariant Spheres
dc.typeArtículos de revistas


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