Bohl–Perron theorem for random dynamical systems

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY

Stochastics and Dynamics Pub Date : 2022-12-13 DOI:10.1142/s0219493723500107

Nguyen Huu Du, Tran Manh Cuong, Ta Thi Trang

引用次数: 0

Abstract

In this paper, we consider the Bohl–Perron Theorem for linear random dynamical systems. We prove that the tempered exponential stability of a linear co-cycle is equivalent to the boundedness of solutions for inherit difference equation. Paper also proves a similar concept for co-cycle admitting a tempered exponential dichotomy.

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随机动力系统的Bohl-Perron定理

本文研究线性随机动力系统的Bohl-Perron定理。证明了一类线性共环的缓调指数稳定性等价于一类遗传差分方程解的有界性。本文还证明了一个类似的共环的概念，承认一个缓变指数二分法。

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

Stochastics and Dynamics 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system''s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.