微分自治系统高次奇点的重次  

MULTIPLICITY OF HIGHER ORDER SINGULAR POINT OF DIFFERENTIAL AUTONOMOUS SYSTEM

作　　者：刘一戎[1] 

机构地区：[1]中南工业大学应用数学与应用软件系

出　　处：《中南工业大学学报》1999年第3期325-326,共2页Journal of Central South University of Technology(Natural Science)

基　　金：湖南省自然科学基金

摘　　要：对二阶微分自治系统定义了高次奇点的重次，讨论了多重奇点的分解与合并以及奇点的重次与指数之间的关系。In this paper, for second order differential autonomous system, the multiplicity of higher order singular point is defined, the decomposition and amalgamation on multiple singular point is discussed, and the relation between multiplicity and index of multiple singular point is discovered. It is proved that the sum of multiplicity of all singular points in the interior of a closed orbit is an odd.

关 键 词：微分系统 高次奇点 重次 微分自治系统 

分 类 号：O175.12[理学—数学]