WEAKLY ALMOST PERIODICITY AND DISTRIBUTIONAL CHAOS IN A SEQUENCE
WEAKLY ALMOST PERIODICITY AND DISTRIBUTIONAL CHAOS IN A SEQUENCE
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DOI：
10.1142/s0217979207038289
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发表时间：
2007-12
影响因子：
1.7
通讯作者：
Lidong Wang;Guifeng Huang;Na Wang
中科院分区：
文献类型：
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作者：
Lidong Wang;Guifeng Huang;Na Wang
设（∑，ρ）是单边符号空间（有两个符号），σ是∑上的移位。用A（·）表示概周期点集，用W（·）表示弱概周期点集。本文证明了存在不可数集J使得σ|序列J是分布混沌的，且J <$W（σ）-A（σ）.
Let (∑, ρ) be a one-sided symbolic space (with two symbols) and σ be the shift on ∑. Denote the set of almost periodic points by A(·) and the set of weakly almost periodic points by W(·). In this paper, we prove that there exists an uncountable set J such that σ|J is distributively chaotic in a sequence, and J⊂W(σ)-A(σ).