Solution of Center-Focus Problem for a Class of Cubic Systems

作     者：Bo SANG Chuanze NIU 

作者机构：School of Mathematical Sciences Liaocheng University 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2016年第37卷第1期

页      面：149-160页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(No.11401285) the Foundation for Research in Experimental Techniques of Liaocheng University(No.LDSY2014110) 

主　　题：三次系统 焦点问题 Liapunov 求解 中心问题 李雅普诺夫 常数 等时 

摘      要：For a class of cubic systems, the authors give a representation of the n th 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.