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

被引：0
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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;
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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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