TOPOLOGICAL ENTROPY OF ONE DIMENSIONAL ITERATED FUNCTION SYSTEMS

被引：0

作者：

Nia, Mehdi Fatehi ^{[1
]}

Moeinaddini, Fatemeh ^{[1
]}

机构：

[1] Yazd Univ, Dept Math, Yazd, Iran

来源：

HONAM MATHEMATICAL JOURNAL | 2020年 / 42卷 / 04期

关键词：

Entropy; Iterated Function System; Logistic function; Piecewise monotone; Tent map;

D O I：

10.5831/HMJ.2020.42.4.681

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, topological entropy of iterated function systems (IFS) on one dimensional spaces is considered. Estimation of an upper bound of topological entropy of piecewise monotone IFS is obtained by open covers. Then, we provide a way to calculate topological entropy of piecewise monotone IFS. In the following, some examples are given to illustrate our theoretical results. Finally, we have a discussion about the possible applications of these examples in various sciences.

引用

页码：681 / 699

页数：19

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