{"title":"一些耦合映射网络的动态特性及其在多层中心网络中的应用","authors":"Shujuan Guo, Xinchu Fu","doi":"10.1109/IWCFTA.2009.78","DOIUrl":null,"url":null,"abstract":"In this paper, the synchronization and stability of some coupled map networks (CMN) are studied. Via linear stability analysis method, the stability of the synchronized state of CMN is determined by the eigenvalues of a matrix A, and for the chaos Logistic map, the range of the coupling strength of CMN is given. These results are applied to a class of multi-layer center networks, and some specific results are induced. Finally, numerical simulations are presented to verify these results.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamical Properties of Some Coupled Map Networks with Applications to Multi-layer Center Networks\",\"authors\":\"Shujuan Guo, Xinchu Fu\",\"doi\":\"10.1109/IWCFTA.2009.78\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the synchronization and stability of some coupled map networks (CMN) are studied. Via linear stability analysis method, the stability of the synchronized state of CMN is determined by the eigenvalues of a matrix A, and for the chaos Logistic map, the range of the coupling strength of CMN is given. These results are applied to a class of multi-layer center networks, and some specific results are induced. Finally, numerical simulations are presented to verify these results.\",\"PeriodicalId\":279256,\"journal\":{\"name\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"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.2009.78\",\"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.2009.78","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dynamical Properties of Some Coupled Map Networks with Applications to Multi-layer Center Networks
In this paper, the synchronization and stability of some coupled map networks (CMN) are studied. Via linear stability analysis method, the stability of the synchronized state of CMN is determined by the eigenvalues of a matrix A, and for the chaos Logistic map, the range of the coupling strength of CMN is given. These results are applied to a class of multi-layer center networks, and some specific results are induced. Finally, numerical simulations are presented to verify these results.
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