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arXiv · 0706.2347

On the cyclicity of weight-homogeneous centers

Lubomir Gavrilov·Jaume Gine·Maite Grau
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Abstract

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.

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Lubomir Gavrilov, Jaume Gine, Maite Grau. 2009-03-14. On the cyclicity of weight-homogeneous centers. https://arxiv.org/abs/0706.2347

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