Linearizability and critical period bifurcations of a generalized Riccati system
Dynamical Systems
2017-06-27 v2
Abstract
In this paper we investigate the isochronicity and linearizability problem for a cubic polynomial differential system which can be considered as a generalization of the Riccati system. Conditions for isochronicity and linearizability are found. The global structure of systems of the family with an isochronous center is determined. Furthermore, we find the order of weak center and study the problem of local bifurcation of critical periods in a neighborhood of the center.
Keywords
Cite
@article{arxiv.1702.05365,
title = {Linearizability and critical period bifurcations of a generalized Riccati system},
author = {Valery G. Romanovski and Wilker Fernandes and Yilei Tang and Yun Tian},
journal= {arXiv preprint arXiv:1702.05365},
year = {2017}
}
Comments
15 pages, 3 figures