一类六次微分系统的非退化中心问题  

The Nondegenerate Center Problem for a Family of Sixth Order Differential Systems

作　　者：桑波[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《数学年刊（A辑）》2013年第6期709-716,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10871214)的资助

摘　　要：通过改进的形式级数法,讨论了一类六次一致等时微分系统的非退化中心判定问题,基于吴特征集法给出系统具有等时中心的21组系数条件,这些条件是充要的.Through the improved formal power series method, the nondegenerate center determination problem of a family of sixth order uniformly isochronous differential systems is investigated. By Wu＇s characteristic-sets method, twenty-one coefficient conditions ensuring the origin to be isochronous center are found, which are both necessary and sufficient.

关 键 词：焦点量 一致等时中心 时间可逆 特征集 

分 类 号：O175[理学—数学]