链混合与链传递迭代函数系统

IF 0.4 Q4 MATHEMATICS Journal of Dynamical Systems and Geometric Theories Pub Date : 2020-07-02 DOI:10.1080/1726037X.2020.1856338

M. F. Nia

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引用次数: 1

摘要

摘要本文研究了迭代函数系统中拓扑动力系统的一些性质。首先，我们将介绍链混合和链传递迭代函数系统，然后给出一些结果和一个例子来比较这些概念在离散动力系统中的应用。我们的主要结果是，利用添加机器映射和拓扑共轭证明了迭代函数系统中的链混合、链传递和链递归性质是等价的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Chain Mixing and Chain Transitive Iterated Function Systems

Abstract This paper considers some properties in topological dynamical systems in iterated function systems. First, we will introduce chain mixing and chain transitive iterated function systems then some results and an example is presented to compare with these notions in discrete dynamical systems. As our main result, using adding machine maps and topological conjugacy we show that chain mixing, chain transitive and chain recurrence properties in iterated function systems are equivalent.

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Journal of Dynamical Systems and Geometric Theories MATHEMATICS-

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