On limit cycles appearing by polynomial perturbation of Darbouxian integrable systems
Classical Analysis and ODEs
2007-05-23 v1 Dynamical Systems
Abstract
We prove an existential finiteness Varchenko-Khovanskii type result for integrals of rational 1-forms over the level curves of Darbouxian integrals.
Keywords
Cite
@article{arxiv.0704.3217,
title = {On limit cycles appearing by polynomial perturbation of Darbouxian integrable systems},
author = {Dmitry Novikov},
journal= {arXiv preprint arXiv:0704.3217},
year = {2007}
}
Comments
21 pages, 2 figures, LaTeX