Solution of center-focus problem for a class of cubic systems

被引：0

作者：

Bo Sang

Chuanze Niu

机构：

[1] Liaocheng University,School of Mathematical Sciences

来源：

Chinese Annals of Mathematics, Series B | 2016年 / 37卷

关键词：

Center variety; Isochronous center; Center conditions; Integrating factor; 34C05; 34C07;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a class of cubic systems, the authors give a representation of the nth order Liapunov constant through a chain of pseudo-divisions. As an application, the center problem and the isochronous center problem of a particular system are considered. They show that the system has a center at the origin if and only if the first seven Liapunov constants vanish, and cannot have an isochronous center at the origin.

引用

页码：149 / 160

页数：11