{"title":"由快速行波介导的振子间非局域耦合","authors":"R. P. Aristides, R. Viana","doi":"10.1504/ijndc.2019.10024829","DOIUrl":null,"url":null,"abstract":"We propose a general model for coupling among oscillators mediated by wave propagation in the spatial region in which the oscillators are embedded. Particular cases are presented in one, two and three spatial dimensions. We present, as a numerical application, an investigation of phase and frequency synchronisation in a lattice of phase oscillators coupled according the general model.","PeriodicalId":249374,"journal":{"name":"International Journal of Nonlinear Dynamics and Control","volume":"406 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Non-local coupling among oscillators mediated by fast travelling waves\",\"authors\":\"R. P. Aristides, R. Viana\",\"doi\":\"10.1504/ijndc.2019.10024829\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose a general model for coupling among oscillators mediated by wave propagation in the spatial region in which the oscillators are embedded. Particular cases are presented in one, two and three spatial dimensions. We present, as a numerical application, an investigation of phase and frequency synchronisation in a lattice of phase oscillators coupled according the general model.\",\"PeriodicalId\":249374,\"journal\":{\"name\":\"International Journal of Nonlinear Dynamics and Control\",\"volume\":\"406 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-10-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Nonlinear Dynamics and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/ijndc.2019.10024829\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Nonlinear Dynamics and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijndc.2019.10024829","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Non-local coupling among oscillators mediated by fast travelling waves
We propose a general model for coupling among oscillators mediated by wave propagation in the spatial region in which the oscillators are embedded. Particular cases are presented in one, two and three spatial dimensions. We present, as a numerical application, an investigation of phase and frequency synchronisation in a lattice of phase oscillators coupled according the general model.