Uniformly almost periodic points

ZHOU Zuoling; HE Weihong

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Uniformly almost periodic points

机译：几乎一致的周期点

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In this note, we introduce a new level on recurrent motion in discrete semi-dynamical systems, i.e. uniformly almost periodic (U.A.P.) points. For a U.A.P. point, we will prove that when the map is restricted on its co-limit set, it is a homeomorphism, strictly ergodic and with zero-topological entropy. Moreover, we will give the co-limit set a description of a compact topological group structure.

机译：在本说明中，我们为离散半动力学系统中的递归运动引入了一个新的高度，即一致的几乎周期性的（U.A.P.）点。对于U.A.P.一点，我们将证明，当地图被限制在它的共同极限集上时，它是同胚同态，严格遍历人体，并且具有零拓扑熵。此外，我们将给共极限集一个紧凑拓扑组结构的描述。

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来源
《Chinese science bulletin》 |1996年第16期|p.1328-1331|共4页
作者
ZHOU Zuoling; HE Weihong;
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作者单位

Lingnan College, Zhongshan University, Guangzhou 510275, China;

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原文格式 PDF
正文语种 eng
中图分类自然科学现状及发展;
关键词
compact system; invariant measure; topological entropy; uniformly almost periodic points;

机译：紧系统;不变测度;拓扑熵;一致几乎周期点;

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Uniformly almost periodic points

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