{"title":"分数阶混沌吕氏系统的无穷状态表征","authors":"","doi":"10.1016/j.ifacol.2024.08.240","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, the Infinite State Representation is applied to the fractional Lü chaotic system. Thanks to a finite dimension approximation, the original fractional order system is converted into a large dimension set of integer-order nonlinear equations whose initial conditions allow to test the butterfly effect of the equivalent chaotic system. This sensitivity to initial conditions is quantified thanks to Lyapunov exponents computed with an experimental technique. Then, the largest Lyapunov exponent is used as a fractional index to characterize the Infinite State Representation.</p></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2405896324009704/pdf?md5=9e91b80a748a36754f51d4bfc01bd63d&pid=1-s2.0-S2405896324009704-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Characterization of the Infinite State Representation of the Fractional Order Chaotic Lü System\",\"authors\":\"\",\"doi\":\"10.1016/j.ifacol.2024.08.240\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, the Infinite State Representation is applied to the fractional Lü chaotic system. Thanks to a finite dimension approximation, the original fractional order system is converted into a large dimension set of integer-order nonlinear equations whose initial conditions allow to test the butterfly effect of the equivalent chaotic system. This sensitivity to initial conditions is quantified thanks to Lyapunov exponents computed with an experimental technique. Then, the largest Lyapunov exponent is used as a fractional index to characterize the Infinite State Representation.</p></div>\",\"PeriodicalId\":37894,\"journal\":{\"name\":\"IFAC-PapersOnLine\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2405896324009704/pdf?md5=9e91b80a748a36754f51d4bfc01bd63d&pid=1-s2.0-S2405896324009704-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IFAC-PapersOnLine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2405896324009704\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IFAC-PapersOnLine","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405896324009704","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
Characterization of the Infinite State Representation of the Fractional Order Chaotic Lü System
In this paper, the Infinite State Representation is applied to the fractional Lü chaotic system. Thanks to a finite dimension approximation, the original fractional order system is converted into a large dimension set of integer-order nonlinear equations whose initial conditions allow to test the butterfly effect of the equivalent chaotic system. This sensitivity to initial conditions is quantified thanks to Lyapunov exponents computed with an experimental technique. Then, the largest Lyapunov exponent is used as a fractional index to characterize the Infinite State Representation.
期刊介绍：
All papers from IFAC meetings are published, in partnership with Elsevier, the IFAC Publisher, in theIFAC-PapersOnLine proceedings series hosted at the ScienceDirect web service. This series includes papers previously published in the IFAC website.The main features of the IFAC-PapersOnLine series are: -Online archive including papers from IFAC Symposia, Congresses, Conferences, and most Workshops. -All papers accepted at the meeting are published in PDF format - searchable and citable. -All papers published on the web site can be cited using the IFAC PapersOnLine ISSN and the individual paper DOI (Digital Object Identifier). The site is Open Access in nature - no charge is made to individuals for reading or downloading. Copyright of all papers belongs to IFAC and must be referenced if derivative journal papers are produced from the conference papers. All papers published in IFAC-PapersOnLine have undergone a peer review selection process according to the IFAC rules.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
