封闭关系熵不为零的充分条件

Pub Date : 2024-02-15 DOI:10.1017/etds.2024.11

IZTOK BANIČ, RENE GRIL ROGINA, JUDY KENNEDY, VAN NALL

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引用次数: 0

摘要

我们为紧凑度量空间上的闭合关系引入了返回集和对齐集的概念，然后利用它们得到了这种关系具有非零熵的非难充分条件。此外，我们还从李-约克混沌和 DC2 混沌的角度给出了具有非零熵的有限关系的特征。

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Sufficient conditions for non-zero entropy of closed relations

We introduce the notions of returns and well-aligned sets for closed relations on compact metric spaces and then use them to obtain non-trivial sufficient conditions for such a relation to have non-zero entropy. In addition, we give a characterization of finite relations with non-zero entropy in terms of Li–Yorke and DC2 chaos.

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