Affiliation:
1. School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China
Abstract
We will introduce Mironenko’s method to discuss the Poincaré center-focus problem, and compare the methods of Lyapunov and Mironenko. We apply the Mironenko method to discuss the qualitative behavior of solutions of some planar polynomial differential systems and derive the sufficient conditions for a critical point to be a center.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Analysis