{"title":"具有惯性和高阶相互作用的随机仓本振荡器","authors":"Priyanka Rajwani, Sarika Jalan","doi":"arxiv-2407.14874","DOIUrl":null,"url":null,"abstract":"Impact of noise in coupled oscillators with pairwise interactions has been\nextensively explored. Here, we study stochastic second-order coupled Kuramoto\noscillators with higher-order interactions, and show that as noise strength\nincreases the critical points associated with synchronization transitions shift\ntoward higher coupling values. By employing the perturbation analysis, we\nobtain an expression for the forward critical point as a function of inertia\nand noise strength. Further, for overdamped systems we show that as noise\nstrength increases, the first-order transition switches to second-order even\nfor higher-order couplings. We include a discussion on nature of critical\npoints obtained through Ott-Antonsen ansatz.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"72 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stochastic Kuramoto oscillators with inertia and higher-order interactions\",\"authors\":\"Priyanka Rajwani, Sarika Jalan\",\"doi\":\"arxiv-2407.14874\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Impact of noise in coupled oscillators with pairwise interactions has been\\nextensively explored. Here, we study stochastic second-order coupled Kuramoto\\noscillators with higher-order interactions, and show that as noise strength\\nincreases the critical points associated with synchronization transitions shift\\ntoward higher coupling values. By employing the perturbation analysis, we\\nobtain an expression for the forward critical point as a function of inertia\\nand noise strength. Further, for overdamped systems we show that as noise\\nstrength increases, the first-order transition switches to second-order even\\nfor higher-order couplings. We include a discussion on nature of critical\\npoints obtained through Ott-Antonsen ansatz.\",\"PeriodicalId\":501305,\"journal\":{\"name\":\"arXiv - PHYS - Adaptation and Self-Organizing Systems\",\"volume\":\"72 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Adaptation and Self-Organizing Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.14874\",\"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 - Adaptation and Self-Organizing Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.14874","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stochastic Kuramoto oscillators with inertia and higher-order interactions
Impact of noise in coupled oscillators with pairwise interactions has been
extensively explored. Here, we study stochastic second-order coupled Kuramoto
oscillators with higher-order interactions, and show that as noise strength
increases the critical points associated with synchronization transitions shift
toward higher coupling values. By employing the perturbation analysis, we
obtain an expression for the forward critical point as a function of inertia
and noise strength. Further, for overdamped systems we show that as noise
strength increases, the first-order transition switches to second-order even
for higher-order couplings. We include a discussion on nature of critical
points obtained through Ott-Antonsen ansatz.