On the cyclicity of weight-homogeneous centers
Dynamical Systems
2009-03-14 v2
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.
Keywords
Cite
@article{arxiv.0706.2347,
title = {On the cyclicity of weight-homogeneous centers},
author = {Lubomir Gavrilov and Jaume Gine and Maite Grau},
journal= {arXiv preprint arXiv:0706.2347},
year = {2009}
}
Comments
13 pages, no figures