Research on the Poincaré center-focus problem of some cubic differential systems by using a new method

被引：0

作者：

Zhengxin Zhou

Fangfang Mao

Yuexin Yan

机构：

[1] Yangzhou University,School of Mathematical Sciences

来源：

Advances in Difference Equations | / 2017卷

关键词：

cubic system; Poincaré center-focus problem; Mironenko’s method; reflecting function; 34A12; 34A34; 34C14;

D O I：

暂无

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学科分类号：

摘要：

In this article, we discuss the Poincaré center-focus problem of some cubic differential systems by using a new method (Mironenko’s method) and obtain some new sufficient conditions for a critical point to be a center. By using this method we not only solve a center-focus problem, but also at the same time, we open a class of differential systems, which do not have to be polynomial differential systems, with the same qualitative behavior at the critical point.

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