{"title":"弱耦合相同系统的轨道渐近稳定循环","authors":"I. Barabanov, V. Tkhai","doi":"10.1109/SCP.2015.7342036","DOIUrl":null,"url":null,"abstract":"The dynamical model containing coupled identical subsystems is considered. A subsystem is supposed to admit of a family of periodic solutions with the period being a monotonic function of a single numerical parameter. Conditions to be imposed on couplings such that the whole system admits a family Σ of periodic motions similar to that of a subsystem are found. An orbitally asymptotically stable cycle is distinguished in Σ.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"An orbitally asymptotically stable cycle in weakly coupled identical systems\",\"authors\":\"I. Barabanov, V. Tkhai\",\"doi\":\"10.1109/SCP.2015.7342036\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The dynamical model containing coupled identical subsystems is considered. A subsystem is supposed to admit of a family of periodic solutions with the period being a monotonic function of a single numerical parameter. Conditions to be imposed on couplings such that the whole system admits a family Σ of periodic motions similar to that of a subsystem are found. An orbitally asymptotically stable cycle is distinguished in Σ.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCP.2015.7342036\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCP.2015.7342036","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An orbitally asymptotically stable cycle in weakly coupled identical systems
The dynamical model containing coupled identical subsystems is considered. A subsystem is supposed to admit of a family of periodic solutions with the period being a monotonic function of a single numerical parameter. Conditions to be imposed on couplings such that the whole system admits a family Σ of periodic motions similar to that of a subsystem are found. An orbitally asymptotically stable cycle is distinguished in Σ.
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
