论文标题

拓扑序列熵和树地图的拓扑动态

Topological sequence entropy and topological dynamics of tree maps

论文作者

Daghar, Aymen, Canovas, Jose S.

论文摘要

我们证明,零拓扑熵连续树图始终显示为零拓扑序列熵,而它仅限于其非随机和链条复发集。此外,我们表明,即使我们仅考虑对周期点集的限制,相似的结果也是可能的。

We prove that a zero topological entropy continuous tree map always displays zero topological sequence entropy when it is restricted to its non-wandering and chain recurrent sets. In addition, we show that a similar result is not possible when the phase space is a dendrite even when we consider only the restriction on the set of periodic points.

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