On the cyclicity of weight-homogeneous centers

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dc.creatorGavrilov, Lubomir
dc.creatorGine, Jaume
dc.creatorGrau, Maite
dc.date2007-06-15
dc.date2009-03-14
dc.date.accessioned2026-07-07T12:52:01Z
dc.date.available2026-07-07T12:52:01Z
dc.descriptionLet W be a weight-homogeneous planar polynomial differential system with a center. We find an upper bound of the number of limit cycles which bifurcate from the period annulus of W under a generic polynomial perturbation. We apply this result to a particular family of planar polynomial systems having a nilpotent center without meromorphic first integral.
dc.description13 pages, no figures
dc.identifierhttps://arxiv.org/abs/0706.2347
dc.identifierhttp://arxiv.org/abs/0706.2347
dc.identifierJ. Differential Equations 246 (2009) 3126-3135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223170
dc.subjectDynamical Systems
dc.subject34C07, 34C05, 34C14
dc.titleOn the cyclicity of weight-homogeneous centers
dc.typetext

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