一类拟五次解析系统的广义焦点量和可积性条件  

The Generalized Focal Values and The Necessary and sufficient conditions That a Regular Integral Exists for a class of Quintic Systems

作　　者：曾志辉[1] 窦玉娥[1] 

机构地区：[1]中南大学数学科学与计算技术学院,湖南长沙410083

出　　处：《黑龙江科技信息》2007年第09X期38-38,共1页Heilongjiang Science and Technology Information

摘　　要：研究了一类拟五次解析系统的中心——焦点判定问题。得到了该系统的前36个奇点量和可积性条件,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 or focus are investigated, The first 36 values 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 center or focus for elementary critical point, higher critical point and infinite point are solved;six basic Lie invariables are also given.

关 键 词：拟解析系统 广义焦点量 可积性 

分 类 号：O175.12[理学—数学]