ON STRONG EXPONENTIAL LIMIT SHADOWING PROPERTY

被引：0
作者：
Darabi, Ali [1 ]
机构：
[1] Shahid Chamran Univ Ahvaz, Dept Math, Ahvaz, Iran
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 37卷 / 04期
关键词：
Exponential limit shadowing; limit shadowing; hyperbolic set; Omega-stability; positively expansive map;
D O I：
10.4134/CKMS.c210394
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we show that the strong exponential limit shadowing property (SELmSP, for short), which has been recently introduced, exists on a neighborhood of a hyperbolic set of a diffeomorphism. We also prove that Omega-stable diffeomorphisms and L-hyperbolic homeomorphisms have this type of shadowing property. By giving examples, it is shown that this type of shadowing is different from the other shadowings, and the chain transitivity and chain mixing are not necessary for it. Furthermore, we extend this type of shadowing property to positively expansive maps with the shadowing property.
引用
收藏
页码：1249 / 1258
页数：10
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