{"title":"一类新型参数不确定超混沌系统的分数阶自适应同步","authors":"Longge Zhang","doi":"10.1109/IWCFTA.2009.20","DOIUrl":null,"url":null,"abstract":"This paper investigates the fractional order synchronization of a new hyperchaotic system. Based on the Lyapunov stability theorem, a new type of Lyapunov function is designed to assure the stability of the closed system, and a large number of synchronization methods can received through the different selected fractional order. The feasibility and effectiveness of the proposed hyperchaotic system’s synchronization scheme are verified via numerical simulations.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"117 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fractional Order Adaptive Synchronization of a New Hyperchaotic System with an Uncertain Parameter\",\"authors\":\"Longge Zhang\",\"doi\":\"10.1109/IWCFTA.2009.20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates the fractional order synchronization of a new hyperchaotic system. Based on the Lyapunov stability theorem, a new type of Lyapunov function is designed to assure the stability of the closed system, and a large number of synchronization methods can received through the different selected fractional order. The feasibility and effectiveness of the proposed hyperchaotic system’s synchronization scheme are verified via numerical simulations.\",\"PeriodicalId\":279256,\"journal\":{\"name\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"volume\":\"117 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2009.20\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Workshop on Chaos-Fractals Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2009.20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fractional Order Adaptive Synchronization of a New Hyperchaotic System with an Uncertain Parameter
This paper investigates the fractional order synchronization of a new hyperchaotic system. Based on the Lyapunov stability theorem, a new type of Lyapunov function is designed to assure the stability of the closed system, and a large number of synchronization methods can received through the different selected fractional order. The feasibility and effectiveness of the proposed hyperchaotic system’s synchronization scheme are verified via numerical simulations.
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