Quantitative shadowable points

被引：23

作者：

Kawaguchi, Noriaki ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2017年 / 32卷 / 04期

关键词：

Shadowable points; transitive; pointwise recurrent; (Primary) 37C50; (Secondary) 37B20; 37B45;

D O I：

10.1080/14689367.2017.1280664

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The notion of shadowable points was introduced by Morales in his recent paper (2016, Dynamical Systems). A shadowable point of a continuous map or a homeomorphism is defined to be a point such that the shadowing lemma holds for pseudo orbits passing through the point. In this paper, as a quantitative version of the shadowable points, we study shadowable points with a given shadowing accuracy, and prove a quantitative version of Morales' theorem in his paper above. In addition, we answer two questions on shadowable points asked in the paper.

引用

页码：504 / 518

页数：15

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