A New Method for Research on the Center-Focus Problem of Differential Systems

Zhou Zhengxin<sup>*</sup>

doi:10.1155/2014/926538

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A New Method for Research on the Center-Focus Problem of Differential Systems

作者：Zhou Zhengxin^*

来源：Abstract and Applied Analysis, 2014, 2014: 926538.

DOI：10.1155/2014/926538

摘要

We will introduce Mironenko's method to discuss the Poincare 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.