Dynamic properties of random linear cocycles

IF 0.5 Q3 MATHEMATICS

Asian-European Journal of Mathematics Pub Date : 2023-09-30 DOI:10.1142/s179355712350208x

Manseob Lee, Jumi Oh

引用次数: 0

Abstract

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 [Formula: see text] it is expansive if and only if it has the generalized pseudo trajectory tracing property. Moreover, we show that [Formula: see text] is topologically stable if and only if it is structurally stable.

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随机线性共环的动态性质

本文在随机视点下推广了线性动力系统的扩张性、伪轨迹跟踪性和双曲性。我们证明了对于一个随机线性共环，当且仅当它具有广义伪轨迹跟踪性质时，它是可扩展的。此外，我们证明[公式:见文本]是拓扑稳定的当且仅当它是结构稳定的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asian-European Journal of Mathematics MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

169

期刊介绍： Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.