流的孤立不变集的性质  

Some Properties of Isolated Invariant Sets of a Flow

作　　者：黄土森[1] 

机构地区：[1]宁波大学管理学系,浙江宁波315211

出　　处：《宁波大学学报（理工版）》1999年第3期10-13,共4页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：利用闭集空间的拓扑性质证明了流的孤立不变集的一个特征性质，由此给出流的有限个孤立不变集的交集仍是孤立不变集，并举例说明无限个孤立不变集的交未必是孤立的．A characteristic property of the isolated invariant sets of a flows is provedby making use of the topological properties of the space of closed subsets. Furthermore,it is given that the finite intersection of isolated invariant sets is always isolated, andit also is illustrated with an example that the infinite intersection of isolated invariantsets is not always isolated.

关 键 词：闭集空间 动力系统 流 拓扑性质 孤立不变集 

分 类 号：O189.1[理学—数学] O175.1[理学—基础数学]