{"title":"一种新型三维混沌金融系统的全局指数吸引集与同步","authors":"Guoliang Cai, Mingzheng Yang","doi":"10.1109/ICIC.2010.111","DOIUrl":null,"url":null,"abstract":"This paper reports the globally exponentially attractive set and synchronization problem of a new chaotic finance system. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, the sufficient condition of the globally exponentially attractive set was given. Secondly, one control approaches is investigated. Sufficient conditions for the globally exponential synchronization of two chaotic finance systems are obtained analytically. Finally, numerical simulation results indicate the effectiveness of the proposed methods.","PeriodicalId":176212,"journal":{"name":"2010 Third International Conference on Information and Computing","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"Globally Exponentially Attractive Set and Synchronization of a Novel Three-Dimensional Chaotic Finance System\",\"authors\":\"Guoliang Cai, Mingzheng Yang\",\"doi\":\"10.1109/ICIC.2010.111\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper reports the globally exponentially attractive set and synchronization problem of a new chaotic finance system. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, the sufficient condition of the globally exponentially attractive set was given. Secondly, one control approaches is investigated. Sufficient conditions for the globally exponential synchronization of two chaotic finance systems are obtained analytically. Finally, numerical simulation results indicate the effectiveness of the proposed methods.\",\"PeriodicalId\":176212,\"journal\":{\"name\":\"2010 Third International Conference on Information and Computing\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Third International Conference on Information and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIC.2010.111\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Third International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2010.111","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Globally Exponentially Attractive Set and Synchronization of a Novel Three-Dimensional Chaotic Finance System
This paper reports the globally exponentially attractive set and synchronization problem of a new chaotic finance system. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, the sufficient condition of the globally exponentially attractive set was given. Secondly, one control approaches is investigated. Sufficient conditions for the globally exponential synchronization of two chaotic finance systems are obtained analytically. Finally, numerical simulation results indicate the effectiveness of the proposed methods.