{"title":"连续与离散耦合动力系统的部分同步","authors":"I. Belykh, V. Belykh","doi":"10.1109/ISCAS.2000.856102","DOIUrl":null,"url":null,"abstract":"The effects of global, partial and anti-phase synchronization of diffusively coupled dynamical systems are investigated via the linear invariant manifolds of the corresponding differential and difference equations. A selfsimilar behavior and a hierarchy of the manifolds are discovered. Stability of invariant manifolds is proved via the method of Lyapunov functions. Theoretical results are illustrated by examples of coupled Rossler systems.","PeriodicalId":6422,"journal":{"name":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","volume":"14 1","pages":"483-486 vol.3"},"PeriodicalIF":0.0000,"publicationDate":"2000-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On partial synchronization of continuous and discrete-time coupled dynamical systems\",\"authors\":\"I. Belykh, V. Belykh\",\"doi\":\"10.1109/ISCAS.2000.856102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The effects of global, partial and anti-phase synchronization of diffusively coupled dynamical systems are investigated via the linear invariant manifolds of the corresponding differential and difference equations. A selfsimilar behavior and a hierarchy of the manifolds are discovered. Stability of invariant manifolds is proved via the method of Lyapunov functions. Theoretical results are illustrated by examples of coupled Rossler systems.\",\"PeriodicalId\":6422,\"journal\":{\"name\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"volume\":\"14 1\",\"pages\":\"483-486 vol.3\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCAS.2000.856102\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCAS.2000.856102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On partial synchronization of continuous and discrete-time coupled dynamical systems
The effects of global, partial and anti-phase synchronization of diffusively coupled dynamical systems are investigated via the linear invariant manifolds of the corresponding differential and difference equations. A selfsimilar behavior and a hierarchy of the manifolds are discovered. Stability of invariant manifolds is proved via the method of Lyapunov functions. Theoretical results are illustrated by examples of coupled Rossler systems.
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