Dynamic properties of random linear cocycles

被引：1

作者：

Lee, Manseob ^{[1
]}

Oh, Jumi ^{[2
]}

机构：

[1] Mokwon Univ, Dept Mkt Big Data & Math, Daejeon 35349, South Korea

[2] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年

基金：

新加坡国家研究基金会;

关键词：

Random linear cocycle; hyperbolic; pseudo trajectory tracing property; topologically stable; structurally stable; DIFFEOMORPHISMS;

D O I：

10.1142/S179355712350208

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend the expansivity, pseudo trajectory tracing property and hyperbolicity of linear dynamical systems for the random view point. We show that to a random linear cocycle A, it is expansive if and only if it has the generalized pseudo trajectory tracing property. Moreover, we show that A is topologically stable if and only if it is structurally stable.

引用

页数：11