Centers and limit cycles of a generalized cubic Riccati system
Dynamical Systems
2017-06-02 v1
Abstract
We obtain condition for existence of a center for a cubic planar differential system, which can be considered as a polynomial subfamily of the generalized Riccati system. We also investigate bifurcations of small limit cycles from the components of the center variety of the system.
Keywords
Cite
@article{arxiv.1706.00099,
title = {Centers and limit cycles of a generalized cubic Riccati system},
author = {Zhengxin Zhou and Valery G. Romanovski and Jiang Yu},
journal= {arXiv preprint arXiv:1706.00099},
year = {2017}
}