Stable sets and mean Li-Yorke chaos in positive entropy systems
Stable sets and mean Li-Yorke chaos in positive entropy systems
复制标题
正熵系统中的稳定集和平均 Li-Yorke 混沌
DOI：
10.1016/j.jfa.2014.01.005
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发表时间：
2014
影响因子：
1.7
通讯作者：
Ye Xiangdong
中科院分区：
文献类型：
--
作者：
Huang Wen;Li Jian;Ye Xiangdong
证明了在具有正熵的拓扑动力系统中，存在一个理论上“相当大”的度量集，使得在该集上的任何点的稳定集或不稳定集的闭包上发生多元形式的平均Li-York ke混沌.证明了渐近元组和平均Li-York ke元组与拓扑熵元组的交集在拓扑熵元组集中是稠密的。
It is shown that in a topological dynamical system with positive entropy, there is a measure-theoretically “rather big” set such that a multivariant version of mean Li–Yorke chaos happens on the closure of the stable or unstable set of any point from the set. It is also proved that the intersections of the sets of asymptotic tuples and mean Li–Yorke tuples with the set of topological entropy tuples are dense in the set of topological entropy tuples respectively.