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流的孤立不变集的性质
引用本文:黄土森.流的孤立不变集的性质[J].宁波大学学报(理工版),1999,12(3):10-13.
作者姓名:黄土森
作者单位:宁波大学管理学系!浙江宁波315211
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.

关 键 词:Hausdorff度量  不变集  孤立不变集  拟孤立不变集

Some Properties of Isolated Invariant Sets of a Flow
HUANG Tu-sen.Some Properties of Isolated Invariant Sets of a Flow[J].Journal of Ningbo University(Natural Science and Engineering Edition),1999,12(3):10-13.
Authors:HUANG Tu-sen
Abstract: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.
Keywords:Hausdorff metric  invariant set  isolated invariant set  quasi-isolatedInvariant set
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