The Analysis of Phase Synchronisation in the Uniform Scale-Free Hypernetwork  

作　　者：Xiujuan Ma Juan Du Fuxiang Ma Bin Zhou Wenqian Yu 

机构地区：[1]College of Computer,Qinghai Normal University,Xining 810016,Qinghai,China [2]The State Key Laboratory of Tibetan Intelligent Information Processing and Application,Xining 810008,Qinghai,China

出　　处：《国际计算机前沿大会会议论文集》2023年第2期344-363,共20页International Conference of Pioneering Computer Scientists, Engineers and Educators（ICPCSEE）

摘　　要：Many phenomena in realistic complex systems can be explained by the synchronisation behavior of complex systems,such as cricket chirping in uni-son.The synchronisation behavior occurring on a hypernetwork can be used to explain the swarming behavior occurring on a multivariate interacting system,such as the synchronised forwarding of group messages.There is a lack of results related to phase synchronization of hypernetwork in the existing studies on the synchronization behavior of hypernetworks.To address this problem,this paper investigates the node-based and hyperedge-based phase synchronisation of a scale-free hypernetwork using the Kuramoto model with the order parameter r as the synchronisation degree indicator.The comparative analysis reveals that the phase synchronisation of the scale-free hypernetwork is related to the uniformity k of the hypernetwork but not to the number of nodes and hyperedges,and the phase synchronisation based on hyperedges is more likely to occur than that based on nodes as the coupling strength increases.In addition,the degree of phase syn-chronisation of scale-free hypernetworks is related to the number of new_nodes of newly added nodes when the hyperedge grows during the construction of the hypernetwork,which shows that the smaller the new_nodes is,the better the degree of synchronisation of the hypernetwork is.

关 键 词：k-uniform scale-free hypernetwork phase synchronisation 

分 类 号：O17[理学—数学]