Ergodic Shadowing Properties of Iterated Function Systems

被引：0
作者：
Huoyun Wang
Qing Liu
机构：
[1] Guangzhou University,Department of Mathematics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2021年 / 44卷
关键词：
Ergodic shadowing; Average shadowing; Iterated function system; Primary: 37C50; Secondary 37C15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we generalize the notion of the ergodic shadowing property to the iterated function systems and prove some related theorems on this notion. In addition, we give an example to show that there is an iterated function system which has the ergodic shadowing property but not weakly mixing. Moreover, we show that ergodic shadowing property implies the average shadowing property for iterated function systems.
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页码：767 / 783
页数：16
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