重标膨胀率和分离流
Rescaled expansivity and separating flows
摘要:
本文给出了Komuro膨胀性蕴涵Wen和Wen最近提出的重标膨胀性的充分条件。证明了紧致度量空间上的流在Katok-Hasselblatt意义下是可扩张的当且仅当它在Gura意义下是可分离的且其不动点的集合是开的.
英文摘要:
In this article we give sufficient conditions for Komuro expansivity to imply the rescaled expansivity recently introduced by Wen and Wen. Also, we show that a flow on a compact metric space is expansive in the sense of Katok-Hasselblatt if and only if it is separating in the sense of Gura and the set of fixed points is open.
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