Sayantan Nag Chowdhury, Md Sayeed Anwar, Dibakar Ghosh
{"title":"吸引力耦合网络中排斥性生成树导致的集群形成","authors":"Sayantan Nag Chowdhury, Md Sayeed Anwar, Dibakar Ghosh","doi":"arxiv-2403.19240","DOIUrl":null,"url":null,"abstract":"Ensembles of coupled nonlinear oscillators are a popular paradigm and an\nideal benchmark for analyzing complex collective behaviors. The onset of\ncluster synchronization is found to be at the core of various technological and\nbiological processes. The current literature has investigated cluster\nsynchronization by focusing mostly on the case of attractive coupling among the\noscillators. However, the case of two coexisting competing interactions is of\npractical interest due to their relevance in diverse natural settings,\nincluding neuronal networks consisting of excitatory and inhibitory neurons,\nthe coevolving social model with voters of opposite opinions, ecological plant\ncommunities with both facilitation and competition, to name a few. In the\npresent article, we investigate the impact of repulsive spanning trees on\ncluster formation within a connected network of attractively coupled limit\ncycle oscillators. We successfully predict which nodes belong to each cluster\nand the emergent frustration of the connected networks independent of the\nparticular local dynamics at the network nodes. We also determine local\nasymptotic stability of the cluster states using an approach based on the\nformulation of a master stability function. We additionally validate the\nemergence of solitary states and antisynchronization for some specific choices\nof spanning trees and networks.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"49 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cluster formation due to repulsive spanning trees in attractively coupled networks\",\"authors\":\"Sayantan Nag Chowdhury, Md Sayeed Anwar, Dibakar Ghosh\",\"doi\":\"arxiv-2403.19240\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Ensembles of coupled nonlinear oscillators are a popular paradigm and an\\nideal benchmark for analyzing complex collective behaviors. The onset of\\ncluster synchronization is found to be at the core of various technological and\\nbiological processes. The current literature has investigated cluster\\nsynchronization by focusing mostly on the case of attractive coupling among the\\noscillators. However, the case of two coexisting competing interactions is of\\npractical interest due to their relevance in diverse natural settings,\\nincluding neuronal networks consisting of excitatory and inhibitory neurons,\\nthe coevolving social model with voters of opposite opinions, ecological plant\\ncommunities with both facilitation and competition, to name a few. In the\\npresent article, we investigate the impact of repulsive spanning trees on\\ncluster formation within a connected network of attractively coupled limit\\ncycle oscillators. We successfully predict which nodes belong to each cluster\\nand the emergent frustration of the connected networks independent of the\\nparticular local dynamics at the network nodes. We also determine local\\nasymptotic stability of the cluster states using an approach based on the\\nformulation of a master stability function. We additionally validate the\\nemergence of solitary states and antisynchronization for some specific choices\\nof spanning trees and networks.\",\"PeriodicalId\":501305,\"journal\":{\"name\":\"arXiv - PHYS - Adaptation and Self-Organizing Systems\",\"volume\":\"49 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-28\",\"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-2403.19240\",\"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-2403.19240","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cluster formation due to repulsive spanning trees in attractively coupled networks
Ensembles of coupled nonlinear oscillators are a popular paradigm and an
ideal benchmark for analyzing complex collective behaviors. The onset of
cluster synchronization is found to be at the core of various technological and
biological processes. The current literature has investigated cluster
synchronization by focusing mostly on the case of attractive coupling among the
oscillators. However, the case of two coexisting competing interactions is of
practical interest due to their relevance in diverse natural settings,
including neuronal networks consisting of excitatory and inhibitory neurons,
the coevolving social model with voters of opposite opinions, ecological plant
communities with both facilitation and competition, to name a few. In the
present article, we investigate the impact of repulsive spanning trees on
cluster formation within a connected network of attractively coupled limit
cycle oscillators. We successfully predict which nodes belong to each cluster
and the emergent frustration of the connected networks independent of the
particular local dynamics at the network nodes. We also determine local
asymptotic stability of the cluster states using an approach based on the
formulation of a master stability function. We additionally validate the
emergence of solitary states and antisynchronization for some specific choices
of spanning trees and networks.