Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials
Dynamical Systems
2010-02-05 v1
Abstract
In this paper, we give a positive answer to the open question: Can there exist 4 limit cycles in quadratic near-integrable polynomial systems? It is shown that when a quadratic integrable system has two centers and is perturbed by quadratic polynomials, it can generate at least 4 limit cycles with (3,1) distribution. The method of Melnikov function is used.
Cite
@article{arxiv.1002.1055,
title = {Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials},
author = {Pei Yu and Maoan Han},
journal= {arXiv preprint arXiv:1002.1055},
year = {2010}
}
Comments
42 pages, 10 figures