Shadowing with chain transitivity

被引：15

作者：

Dastjerdi, Dawoud Ahmadi ^{[1
]}

Hosseini, Maryam ^{[1
]}

机构：

[1] Univ Guilan, Dept Math, Rasht, Iran

来源：

TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 13期

关键词：

Chain transitivity; Chain recurrent; Shadowing; Distal;

D O I：

10.1016/j.topol.2009.04.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A transitive dynamical system is either sensitive or has a dense set of equicontinuity points [E. Akin, J. Auslander, K. Berg, When is a transitive map chaotic, in: Convergence in Ergodic Theory and Probability, Walter de Gruyter & Co.. 1996, pp. 25-40]. We show that if a chain transitive system has shadowing property then it is either sensitive or all points are equicontinuous. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2193 / 2195

页数：3

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