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R^n中似梯度型系统异缩轨的存在性
引用本文:丁昌明.R^n中似梯度型系统异缩轨的存在性[J].杭州师范学院学报(社会科学版),2000(3):7-9.
作者姓名:丁昌明
作者单位:杭州师范学院数学系!浙江 杭州310036
摘    要:本文讨论R~n中似梯度型系统,证明了三种吸引子的等价性并给出判别异缩轨存在的一个准则.

关 键 词:似梯度型系统  吸引子  异缩轨

Heteroclinic orbits of gradient-like systems in R~n
DING Chang-ming.Heteroclinic orbits of gradient-like systems in R~n[J].Journal of Hangzhou Teachers College(Humanities and Social Sciences),2000(3):7-9.
Authors:DING Chang-ming
Abstract:This paper is concerned with the orbits connecting isolated critical points of gradient-like systems in R~n. A criterion to judge the existence of connecting orbits is given,and furthermore, if the two isolated critical points are attractor and repeller respectively,the set composed of connecting orbits is an open and unbounded set.
Keywords:gradient-like system  heterolinic orbit  attractor
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