{"title":"Bi-quasi-shadowing for semi-partially hyperbolic families","authors":"Lin Chen , Yunhua Zhou","doi":"10.1016/j.jmaa.2025.129550","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we introduce the concept of a semi-partially hyperbolic family and prove that semi-partial hyperbolicity implies partial hyperbolicity under certain conditions. We also establish that a semi-partially hyperbolic family possesses the bi-quasi-shadowing property.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"549 2","pages":"Article 129550"},"PeriodicalIF":1.2000,"publicationDate":"2025-04-02","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/S0022247X25003312","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
Abstract
In this paper, we introduce the concept of a semi-partially hyperbolic family and prove that semi-partial hyperbolicity implies partial hyperbolicity under certain conditions. We also establish that a semi-partially hyperbolic family possesses the bi-quasi-shadowing property.
期刊介绍:
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