{"title":"分数阶小波混沌系统的同步问题","authors":"Wen Tan, F. Jiang, Jianxun Liu, Min Chen","doi":"10.1109/ISDEA.2012.544","DOIUrl":null,"url":null,"abstract":"In this paper, chaos synchronization problem of the fractional order Coullet system in a master-slave pattern is investigated by using the nonlinear feedback control method. Suitable synchronization conditions are analyzed based on the Lyapunov stability theory. And the synchronization of commensurate order Coullet chaotic system of the base order 0.98 is implemented by virtue of the method. Numerical simulations are provided to verify the performance of the proposed controller.","PeriodicalId":267532,"journal":{"name":"2012 Second International Conference on Intelligent System Design and Engineering Application","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2012-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Note on Synchronization of a Fractional Order Coullet Chaotic System\",\"authors\":\"Wen Tan, F. Jiang, Jianxun Liu, Min Chen\",\"doi\":\"10.1109/ISDEA.2012.544\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, chaos synchronization problem of the fractional order Coullet system in a master-slave pattern is investigated by using the nonlinear feedback control method. Suitable synchronization conditions are analyzed based on the Lyapunov stability theory. And the synchronization of commensurate order Coullet chaotic system of the base order 0.98 is implemented by virtue of the method. Numerical simulations are provided to verify the performance of the proposed controller.\",\"PeriodicalId\":267532,\"journal\":{\"name\":\"2012 Second International Conference on Intelligent System Design and Engineering Application\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Second International Conference on Intelligent System Design and Engineering Application\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISDEA.2012.544\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Second International Conference on Intelligent System Design and Engineering Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISDEA.2012.544","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Note on Synchronization of a Fractional Order Coullet Chaotic System
In this paper, chaos synchronization problem of the fractional order Coullet system in a master-slave pattern is investigated by using the nonlinear feedback control method. Suitable synchronization conditions are analyzed based on the Lyapunov stability theory. And the synchronization of commensurate order Coullet chaotic system of the base order 0.98 is implemented by virtue of the method. Numerical simulations are provided to verify the performance of the proposed controller.
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