{"title":"关于弱耦合同振子群的同步问题","authors":"A. Galyaev, P. Lysenko","doi":"10.1109/STAB49150.2020.9140581","DOIUrl":null,"url":null,"abstract":"The work is devoted to the study of the phenomenon of synchronization of a large number of weakly coupled oscillators in the presence of dissipative bonds. These bonds are included in the system dynamics equations in the form of diffusion matrices, providing asymptotically stable oscillation of the oscillator ensemble as a whole. Three types of interaction known as \"identical all-to-all\", \"nearest neighbors\" and \"nearest neighbors in a circle\" are considered as examples.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"About Synchronization Problem of Group of Weakly Coupled Identical Oscillators\",\"authors\":\"A. Galyaev, P. Lysenko\",\"doi\":\"10.1109/STAB49150.2020.9140581\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The work is devoted to the study of the phenomenon of synchronization of a large number of weakly coupled oscillators in the presence of dissipative bonds. These bonds are included in the system dynamics equations in the form of diffusion matrices, providing asymptotically stable oscillation of the oscillator ensemble as a whole. Three types of interaction known as \\\"identical all-to-all\\\", \\\"nearest neighbors\\\" and \\\"nearest neighbors in a circle\\\" are considered as examples.\",\"PeriodicalId\":166223,\"journal\":{\"name\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STAB49150.2020.9140581\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB49150.2020.9140581","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
About Synchronization Problem of Group of Weakly Coupled Identical Oscillators
The work is devoted to the study of the phenomenon of synchronization of a large number of weakly coupled oscillators in the presence of dissipative bonds. These bonds are included in the system dynamics equations in the form of diffusion matrices, providing asymptotically stable oscillation of the oscillator ensemble as a whole. Three types of interaction known as "identical all-to-all", "nearest neighbors" and "nearest neighbors in a circle" are considered as examples.