无限维随机部分双曲动力系统的拟阴影与拟稳定性

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-21 DOI:10.1016/j.jmaa.2025.129989

Zhiming Li

{"title":"无限维随机部分双曲动力系统的拟阴影与拟稳定性","authors":"Zhiming Li","doi":"10.1016/j.jmaa.2025.129989","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we investigate the Lipschitz quasi-shadowing property of infinite dimensional random partially hyperbolic dynamical system whose linear part is not necessarily invertible. As an application of our main result, we show that for a certain class of linear random partially hyperbolic dynamical systems exhibits quasi-stability, i.e., is stable up to a movement in the central direction.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"553 2","pages":"Article 129989"},"PeriodicalIF":1.2000,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasi-shadowing and quasi-stability of infinite dimensional random partially hyperbolic dynamical system\",\"authors\":\"Zhiming Li\",\"doi\":\"10.1016/j.jmaa.2025.129989\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we investigate the Lipschitz quasi-shadowing property of infinite dimensional random partially hyperbolic dynamical system whose linear part is not necessarily invertible. As an application of our main result, we show that for a certain class of linear random partially hyperbolic dynamical systems exhibits quasi-stability, i.e., is stable up to a movement in the central direction.</div></div>\",\"PeriodicalId\":50147,\"journal\":{\"name\":\"Journal of Mathematical Analysis and Applications\",\"volume\":\"553 2\",\"pages\":\"Article 129989\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2025-08-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Analysis and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022247X2500770X\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X2500770X","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了线性部分不一定可逆的无限维随机部分双曲动力系统的Lipschitz拟阴影性质。作为我们的主要结果的一个应用，我们证明了对于某一类线性随机部分双曲动力系统表现出准稳定性，即直到在中心方向上运动是稳定的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Quasi-shadowing and quasi-stability of infinite dimensional random partially hyperbolic dynamical system

In this paper, we investigate the Lipschitz quasi-shadowing property of infinite dimensional random partially hyperbolic dynamical system whose linear part is not necessarily invertible. As an application of our main result, we show that for a certain class of linear random partially hyperbolic dynamical systems exhibits quasi-stability, i.e., is stable up to a movement in the central direction.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.