关于树突和有限图上的极小集的注释

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Journal of Difference Equations and Applications Pub Date : 2023-06-05 DOI:10.1080/10236198.2023.2220417

E. Makhrova

{"title":"关于树突和有限图上的极小集的注释","authors":"E. Makhrova","doi":"10.1080/10236198.2023.2220417","DOIUrl":null,"url":null,"abstract":"ABSTRACT Let X be a dendrite and let be a continuous map that has an infinite minimal set M in X. In the article we obtain conditions on the structure of a dendrite X and the set M, under which f has an arc horseshoe, and, hence, f has a positive topological entropy. We show that this result is not correct both for continuous maps with an empty set of periodic points, and for continuous maps with a non-empty set of periodic points on finite graphs.","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"52 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Remarks on minimal sets on dendrites and finite graphs\",\"authors\":\"E. Makhrova\",\"doi\":\"10.1080/10236198.2023.2220417\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT Let X be a dendrite and let be a continuous map that has an infinite minimal set M in X. In the article we obtain conditions on the structure of a dendrite X and the set M, under which f has an arc horseshoe, and, hence, f has a positive topological entropy. We show that this result is not correct both for continuous maps with an empty set of periodic points, and for continuous maps with a non-empty set of periodic points on finite graphs.\",\"PeriodicalId\":15616,\"journal\":{\"name\":\"Journal of Difference Equations and Applications\",\"volume\":\"52 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-06-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Difference Equations and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/10236198.2023.2220417\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Difference Equations and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10236198.2023.2220417","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 1

摘要

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

Remarks on minimal sets on dendrites and finite graphs

ABSTRACT Let X be a dendrite and let be a continuous map that has an infinite minimal set M in X. In the article we obtain conditions on the structure of a dendrite X and the set M, under which f has an arc horseshoe, and, hence, f has a positive topological entropy. We show that this result is not correct both for continuous maps with an empty set of periodic points, and for continuous maps with a non-empty set of periodic points on finite graphs.

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 Difference Equations and Applications 数学-应用数学

CiteScore

2.10

自引率

9.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Journal of Difference Equations and Applications presents state-of-the-art papers on difference equations and discrete dynamical systems and the academic, pure and applied problems in which they arise. The Journal is composed of original research, expository and review articles, and papers that present novel concepts in application and techniques. The scope of the Journal includes all areas in mathematics that contain significant theory or applications in difference equations or discrete dynamical systems.