一类拟五次系统的奇点量与中心条件  

Singular Point and Center Conditions in a Quintic Polynomial System

作　　者：潘雪军[1] 章丽娜[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《丽水学院学报》2008年第5期5-8,共4页Journal of Lishui University

摘　　要：研究了一类拟五次系统的奇点量与中心焦点判定问题,得到了系统的前28个奇点量与中心条件,由此统一解决了几类平面微分自治系统的初等奇点、高次奇点,以及无穷远点的中心焦点判定问题;同时给出了系统的6个基本Lie不变量。In this paper,for a class of quintic system,the problems of determining center of focus are investigated. The first 28 valules of singular point of the origin and the necessary and sufficient conditions in which a regular integral exists in a neighborhood of the origin are obtained. For some kinds of real planar autonomous differential systems, the problems of determining centers of focus for elementary critical point,high critical point and infinite point are solved;six basic Lie invariable are also given.

关 键 词：拟解析系统 奇点量 中心条件 

分 类 号：O175.12[理学—数学]