微分自治系统高次奇点的重次

来源期刊：中南大学学报(自然科学版)1999年第3期

论文作者：刘一戎

文章页码：108 - 109

关键词：微分系统;高次奇点;重次

Key words：differential system; higher order singular point; multiplicity

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，并证明了闭轨内部奇点的重次之和为奇数

Abstract: 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.