On the cyclicity of weight-homogeneous centers

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Let 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.
13 pages, no figures

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Dynamical Systems, 34C07, 34C05, 34C14

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http://salesiana.dossiersoluciones.com/handle/123456789/223170

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.2347
 http://arxiv.org/abs/0706.2347
 J. Differential Equations 246 (2009) 3126-3135

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arXiv