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

被引：0

作者：

Zhou, Zhengxin ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

REFLECTIVE FUNCTION; EQUATIONS; PERIOD;

D O I：

10.1155/2014/926538

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：5

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