文章基本信息

标题：Stability of cluster formations in adaptive Kuramoto networks
本地全文：下载
作者：Petro Feketa ; Alexander Schaum ; Thomas Meurer 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：9
页码：14-19
DOI：10.1016/j.ifacol.2021.06.141
语种：English
出版社：Elsevier
摘要：AbstractThis paper studies stability properties of multi-cluster formations in Kuramoto networks with adaptive coupling. Sufficient conditions for the local asymptotic stability of the corresponding synchronization invariant toroidal manifold are derived and formulated in terms of the intra-cluster interconnection topology and plasticity parameters of the adaptive couplings. The proposed sufficient stability conditions qualitatively mimic certain counterpart results for Kuramoto networks with static coupling which require sufficiently strong and dense intra-cluster connections and sufficiently weak and sparse inter-cluster ones. Remarkably, the existence of cluster formations depends on the interconnection structure between nodes belonging to different clusters and does not require any coupling links between nodes that form a cluster. On the other hand, the stability properties of clusters depend on the interconnection structure inside the clusters. This dependence constitutes the main contribution of the paper. Also, a numerical example is provided to validate the proposed theoretical findings.
关键词：KeywordsAdaptive couplinginvariant toroidal manifoldKuramoto oscillatorlarge-scale networkmulti-clusteringmulti-frequency oscillationsplasticitysynchronization