{"title":"A cell model of chaotic attractor","authors":"S. Qiu","doi":"10.1109/ISCAS.1997.621912","DOIUrl":null,"url":null,"abstract":"This paper presents a cell model of chaotic attractor that describes practical chaotic behaviors and explains the chaos-producing mechanisms of nonlinear systems. It has been shown that: (1) there are one or more real attractors, the \"hybrid attractors\", in a chaotic attractor, and (2) a quasi-periodic motion (QM) and an isolate direct motion (DM) occur alternately and convert each other in a chaotic system, and the quasi-periodicity of QM and the wandering nature of DM are the main causes of chaos-evolving. Two criteria for the existence of chaotic attractor are given as well.","PeriodicalId":68559,"journal":{"name":"电路与系统学报","volume":"5 1","pages":"1033-1036 vol.2"},"PeriodicalIF":0.0000,"publicationDate":"1997-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"电路与系统学报","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.1109/ISCAS.1997.621912","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
This paper presents a cell model of chaotic attractor that describes practical chaotic behaviors and explains the chaos-producing mechanisms of nonlinear systems. It has been shown that: (1) there are one or more real attractors, the "hybrid attractors", in a chaotic attractor, and (2) a quasi-periodic motion (QM) and an isolate direct motion (DM) occur alternately and convert each other in a chaotic system, and the quasi-periodicity of QM and the wandering nature of DM are the main causes of chaos-evolving. Two criteria for the existence of chaotic attractor are given as well.
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