{"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}
引用次数: 2
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.
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