Effects of Correlation between Network Structure and Dynamics of Oscillators on Synchronization Transition in a Kuramoto Model on Scale-Free Networks  

作　　者：于丹 杨俊忠 

机构地区：[1]School of Science, Beijing University of Posts and Telecommunications

出　　处：《Communications in Theoretical Physics》2014年第2期197-202,共6页理论物理通讯（英文版）

基　　金：Supported by National Natural Science Foundation of China under Grant No.71301012

摘　　要：A recent study has found an explosive synchronization in a Kurammoto model on scale-free networks when the natural frequencies of oscillators are equal to their degrees. In this work, we introduce a quantity to characterize the correlation between the structural and the dynamical properties and investigate the impacts of the correlation on the synchronization transition in the Kuramoto model on scale-free networks. We find that the synchronization transition may be either a continuous one or a discontinuous one depending on the correlation and that strong correlation always postpones both the transitions from the incoherent state to a synchronous one and the transition from a synchronous state to the incoherent one. We find that the dependence of the synchronization transition on the correlation is also valid for other types of distributions of natural frequency.

关 键 词：Kuramoto model network structure synchronization transition 

分 类 号：TN752[电子电信—电路与系统]