{"title":"非自治动力系统的点态弱混合性质和李-约克灵敏度","authors":"Mona Effati, A. Z. Bahabadi, B. Honary","doi":"10.1080/1726037X.2020.1779972","DOIUrl":null,"url":null,"abstract":"Abstract In this paper we present novel concept of pointwise weakly mixing property (PWMP) for autonomous (ADS) and nonautonomous (NDS) dynamical systems. We show that if NDS (X, f 1,∞) has PWMP, then proximal cells are dense in X and in addition NDS is sensitive. Furthermore we conclude that NDS (X, f 1,∞) is Li-Yorke sensitive and also densely Li-Yorke chaotic with pointwise weakly mixing property.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"71 - 80"},"PeriodicalIF":0.4000,"publicationDate":"2020-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1779972","citationCount":"1","resultStr":"{\"title\":\"Pointwise Weakly Mixing Property and Li-Yorke Sensitivity in Nonautonomous Dynamical Systems\",\"authors\":\"Mona Effati, A. Z. Bahabadi, B. Honary\",\"doi\":\"10.1080/1726037X.2020.1779972\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper we present novel concept of pointwise weakly mixing property (PWMP) for autonomous (ADS) and nonautonomous (NDS) dynamical systems. We show that if NDS (X, f 1,∞) has PWMP, then proximal cells are dense in X and in addition NDS is sensitive. Furthermore we conclude that NDS (X, f 1,∞) is Li-Yorke sensitive and also densely Li-Yorke chaotic with pointwise weakly mixing property.\",\"PeriodicalId\":42788,\"journal\":{\"name\":\"Journal of Dynamical Systems and Geometric Theories\",\"volume\":\"18 1\",\"pages\":\"71 - 80\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/1726037X.2020.1779972\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Dynamical Systems and Geometric Theories\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/1726037X.2020.1779972\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Dynamical Systems and Geometric Theories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1726037X.2020.1779972","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Pointwise Weakly Mixing Property and Li-Yorke Sensitivity in Nonautonomous Dynamical Systems
Abstract In this paper we present novel concept of pointwise weakly mixing property (PWMP) for autonomous (ADS) and nonautonomous (NDS) dynamical systems. We show that if NDS (X, f 1,∞) has PWMP, then proximal cells are dense in X and in addition NDS is sensitive. Furthermore we conclude that NDS (X, f 1,∞) is Li-Yorke sensitive and also densely Li-Yorke chaotic with pointwise weakly mixing property.
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