具有滑动异斜周期的三维分段线性系统的混沌动力学

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems Pub Date : 2025-02-13 DOI:10.1016/j.nahs.2025.101584

Zhe Zhao, Tiantian Wu

{"title":"具有滑动异斜周期的三维分段线性系统的混沌动力学","authors":"Zhe Zhao, Tiantian Wu","doi":"10.1016/j.nahs.2025.101584","DOIUrl":null,"url":null,"abstract":"<div><div>This paper explores chaotic dynamics in a class of three-dimensional piecewise linear systems with sliding heteroclinic cycles which are composed of two sliding heteroclinic orbits connecting two saddle-foci or a saddle-focus and a saddle. The system with a sliding heteroclinic cycle connecting two saddle-foci has infinite chaotic invariant sets under an eigenvalue condition, while the existence of chaotic invariant sets for the system with a sliding heteroclinic cycle connecting a saddle-focus and a saddle needs an additional condition except for an eigenvalue condition.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"56 ","pages":"Article 101584"},"PeriodicalIF":3.7000,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chaotic dynamics of three-dimensional piecewise linear systems with sliding heteroclinic cycles\",\"authors\":\"Zhe Zhao, Tiantian Wu\",\"doi\":\"10.1016/j.nahs.2025.101584\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper explores chaotic dynamics in a class of three-dimensional piecewise linear systems with sliding heteroclinic cycles which are composed of two sliding heteroclinic orbits connecting two saddle-foci or a saddle-focus and a saddle. The system with a sliding heteroclinic cycle connecting two saddle-foci has infinite chaotic invariant sets under an eigenvalue condition, while the existence of chaotic invariant sets for the system with a sliding heteroclinic cycle connecting a saddle-focus and a saddle needs an additional condition except for an eigenvalue condition.</div></div>\",\"PeriodicalId\":49011,\"journal\":{\"name\":\"Nonlinear Analysis-Hybrid Systems\",\"volume\":\"56 \",\"pages\":\"Article 101584\"},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2025-02-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Hybrid Systems\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1751570X2500010X\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Hybrid Systems","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1751570X2500010X","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了一类具有滑动异斜环的三维分段线性系统的混沌动力学，该系统由两个滑动异斜轨道连接两个鞍点或一个鞍点和一个鞍点。连接两个鞍焦点的滑动异斜环系统在特征值条件下具有无限混沌不变量集，而连接鞍焦点和鞍的滑动异斜环系统混沌不变量集的存在性除了特征值条件外还需要一个附加条件。

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

Chaotic dynamics of three-dimensional piecewise linear systems with sliding heteroclinic cycles

This paper explores chaotic dynamics in a class of three-dimensional piecewise linear systems with sliding heteroclinic cycles which are composed of two sliding heteroclinic orbits connecting two saddle-foci or a saddle-focus and a saddle. The system with a sliding heteroclinic cycle connecting two saddle-foci has infinite chaotic invariant sets under an eigenvalue condition, while the existence of chaotic invariant sets for the system with a sliding heteroclinic cycle connecting a saddle-focus and a saddle needs an additional condition except for an eigenvalue condition.

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

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.