一类微分系统的非退化中心问题  

THE NONDEGENERATE CENTER PROBLEM FOR A CLASS OF PLANAR DIFFERENTIAL SYSTEMS

作　　者：桑波[1] 朱思铭[2] 

机构地区：[1]聊城大学数学科学学院,聊城252059 [2]中山大学数学与计算科学学院,广州510275

出　　处：《系统科学与数学》2013年第5期599-606,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10871214)资助课题

摘　　要：对于一类多项式微分系统,基于重新参数化提出改进的形式级数法,提高了焦点量序列的约化效率.在此方法的基础上,考虑一类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12组系数条件,这些条件是充要的.For a class of planar polynomial differential systems,we propose an improved formal power series method based on re-parametrization,which is more efficient for the reductions of focal quantities sequence.Based on the method,a family of uniformly isochronous quartic systems is investigated.By using Wu＇s characteristicsets method,we obtain twelve coefficient conditions ensuring the origin to be center, which are necessary and sufficient.

关 键 词：焦点量 一致等时中心 特征集 重新参数化 

分 类 号：O175[理学—数学]