Entropy of expansive flows

Entropy of expansive flows
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DOI:
10.1017/s0143385700004235
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发表时间:
1987-12
影响因子:
0.9
通讯作者:
Romeo F. Thomas
Romeo F. Thomas
中科院分区:
数学2区
文献类型:
--
作者:
Romeo F. Thomas

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设h(φ)是紧度量空间X上真实的连续流φ的拓扑熵。引入扩张真实的流上拓扑熵的等价定义,使我们能够研究相互共轭的扩张流的拓扑熵,并估计具有伪轨跟踪性质的扩张流的周期轨道.
Abstract Let h(φ) be the topological entropy of a real continuous flow φ on a compact metric space X. Introducing an equivalent definition for the topological entropy on an expansive real flow enables us to investigate the topological entropies of mutually conjugate expansive flows and estimate the periodic orbits of an expansive flow which has the pseudo-orbit tracing property.