似梯度型系统的连结轨线  

Connecting Orbits of Gradient-Like Systems in R^(n)

作　　者：丁昌明[1] 

机构地区：[1]杭州师范学院数学系,浙江杭州310036

出　　处：《数学学报（中文版）》2000年第6期1115-1118,共4页Acta Mathematica Sinica：Chinese Series

摘　　要：本文讨论Ｒｎ中似梯度型系统奇点的连结轨线．给出了存在连结轨线的一个判定准则；证明了当系统仅有的两个奇点分别为吸引子和排斥子时，连结轨线集是无界的开集．This paper is concerned with the orbits connecting isolated critical points of gradient-like systems in Rn. 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.

关 键 词：似梯度型系统 连结轨线 吸引子 微分系统 

分 类 号：O175.12[理学—数学]