{"title":"随机网络中的仓本振荡器","authors":"Agostino Funel","doi":"arxiv-2407.21513","DOIUrl":null,"url":null,"abstract":"By means of numerical analysis conducted with the aid of the computer, the\ncollective synchronization of coupled phase oscillators in the Kuramoto model\nin the connected regime of random networks of various sizes is studied. The\noscillators synchronize and achieve phase coherence, and this process is not\nsignificantly affected by the level of connectivity of the network. If the\nprobability that two oscillators are coupled is around the network connectivity\nthreshold synchronization still occurs, although in a more attenuated way. If\nthe size of the network is sufficiently large the oscillators have a phase\ntransition.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Kuramoto oscillators in random networks\",\"authors\":\"Agostino Funel\",\"doi\":\"arxiv-2407.21513\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By means of numerical analysis conducted with the aid of the computer, the\\ncollective synchronization of coupled phase oscillators in the Kuramoto model\\nin the connected regime of random networks of various sizes is studied. The\\noscillators synchronize and achieve phase coherence, and this process is not\\nsignificantly affected by the level of connectivity of the network. If the\\nprobability that two oscillators are coupled is around the network connectivity\\nthreshold synchronization still occurs, although in a more attenuated way. If\\nthe size of the network is sufficiently large the oscillators have a phase\\ntransition.\",\"PeriodicalId\":501167,\"journal\":{\"name\":\"arXiv - PHYS - Chaotic Dynamics\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Chaotic Dynamics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.21513\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Chaotic Dynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.21513","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
By means of numerical analysis conducted with the aid of the computer, the
collective synchronization of coupled phase oscillators in the Kuramoto model
in the connected regime of random networks of various sizes is studied. The
oscillators synchronize and achieve phase coherence, and this process is not
significantly affected by the level of connectivity of the network. If the
probability that two oscillators are coupled is around the network connectivity
threshold synchronization still occurs, although in a more attenuated way. If
the size of the network is sufficiently large the oscillators have a phase
transition.
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