{"title":"分数阶多涡旋超混沌Chua系统及其同步","authors":"Huiling Xi","doi":"10.1109/WCICA.2012.6358105","DOIUrl":null,"url":null,"abstract":"In this paper, a four-dimensional fractional-order multi-scroll hyperchaotic Chua system is proposed. By utilizing the fractional calculus theory and computer simulations, it is found that multi-scroll hyperchaotic attractor exists in this fractional-order Chua system with order less than 4. Furthermore, synchronization between two fractional-order multi-scroll hyperchaotic Chua systems is achieved by a suitable linear controller applied to the response system and the corresponding numerical simulations are performed.","PeriodicalId":114901,"journal":{"name":"Proceedings of the 10th World Congress on Intelligent Control and Automation","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A fractional-order multi-scroll hyperchaotic Chua system and its synchronization\",\"authors\":\"Huiling Xi\",\"doi\":\"10.1109/WCICA.2012.6358105\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a four-dimensional fractional-order multi-scroll hyperchaotic Chua system is proposed. By utilizing the fractional calculus theory and computer simulations, it is found that multi-scroll hyperchaotic attractor exists in this fractional-order Chua system with order less than 4. Furthermore, synchronization between two fractional-order multi-scroll hyperchaotic Chua systems is achieved by a suitable linear controller applied to the response system and the corresponding numerical simulations are performed.\",\"PeriodicalId\":114901,\"journal\":{\"name\":\"Proceedings of the 10th World Congress on Intelligent Control and Automation\",\"volume\":\"46 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 10th World Congress on Intelligent Control and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WCICA.2012.6358105\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 10th World Congress on Intelligent Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WCICA.2012.6358105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A fractional-order multi-scroll hyperchaotic Chua system and its synchronization
In this paper, a four-dimensional fractional-order multi-scroll hyperchaotic Chua system is proposed. By utilizing the fractional calculus theory and computer simulations, it is found that multi-scroll hyperchaotic attractor exists in this fractional-order Chua system with order less than 4. Furthermore, synchronization between two fractional-order multi-scroll hyperchaotic Chua systems is achieved by a suitable linear controller applied to the response system and the corresponding numerical simulations are performed.
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