On the cyclicity of weight-homogeneous centers

Details On the cyclicity of weight-homogeneous centers On the cyclicity of weight-homogeneous centers

2007-06-15

arxiv.org/abs/0706.2347v2

J. Differential Equations 246 (2009) 3126-3135

Mathematics

Dynamical Systems

13 pages, no figures

Scientific paper

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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