Bounded limit cycles of polynomial foliations of $\mathbb CP^2$
Complex Variables
2018-04-13 v1 Dynamical Systems
Abstract
In this article we prove in a new way that a generic polynomial vector field in possesses countably many homologically independent limit cycles. The new proof needs no estimates on integrals, provides thinner exceptional set for quadratic vector fields, and provides limit cycles that stay in a bounded domain.
Keywords
Cite
@article{arxiv.1504.03313,
title = {Bounded limit cycles of polynomial foliations of $\mathbb CP^2$},
author = {Nataliya Goncharuk and Yury Kudryashov},
journal= {arXiv preprint arXiv:1504.03313},
year = {2018}
}