{"title":"分数阶中立型微分系统中的混沌及其同步","authors":"Xiaoran Lin, Shangbo Zhou, X. Liao, Xiubang Tang","doi":"10.1109/IWCFTA.2009.67","DOIUrl":null,"url":null,"abstract":"In this paper, for the first time, chaos in fractional-order neutral delay differential equation(NDDE) is discussed. Chaos in fractional-order neutral delay differential equation is illustrated by presenting its waveform graphs, states diagrams and bifurcation graphs. Also the investigating result shows that the chaos in such fractional order neutral delay differential equation can be synchronized and realize spread secure communications.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"92 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Chaos and Its Synchronization in a Fractional Order Neutral Differential System\",\"authors\":\"Xiaoran Lin, Shangbo Zhou, X. Liao, Xiubang Tang\",\"doi\":\"10.1109/IWCFTA.2009.67\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, for the first time, chaos in fractional-order neutral delay differential equation(NDDE) is discussed. Chaos in fractional-order neutral delay differential equation is illustrated by presenting its waveform graphs, states diagrams and bifurcation graphs. Also the investigating result shows that the chaos in such fractional order neutral delay differential equation can be synchronized and realize spread secure communications.\",\"PeriodicalId\":279256,\"journal\":{\"name\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"volume\":\"92 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"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.2009.67\",\"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.2009.67","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Chaos and Its Synchronization in a Fractional Order Neutral Differential System
In this paper, for the first time, chaos in fractional-order neutral delay differential equation(NDDE) is discussed. Chaos in fractional-order neutral delay differential equation is illustrated by presenting its waveform graphs, states diagrams and bifurcation graphs. Also the investigating result shows that the chaos in such fractional order neutral delay differential equation can be synchronized and realize spread secure communications.
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