关键词: 同步, 无标度网络, 随机网络, 异质性, 连接密度

Abstract: Discusses a class of continuously variable network models which are heterogeneously distributed in between scale-free networks and random networks. With an idea proposed, i.e., link density and under the precondition that the size of networks remains unchanged, the effects of the heterogeneous distribution of degree and link density on the synchronizability of network are investigated and, based on the synchronization criterion, the synchroniabilities of two types of networks are explored. As a result it is found that for Type I networks the correlation between networks synchronizability and heterogeneous distribution of degree is affected by the link density, and the former two are independent of the latter if it is quite small. As to the Type II, the synchronizability is affected jointly by the networks' heterogeneous distribution of degree, size and link density. And the higher the heterogeneity, the larger the networks' size and the lower the link density are, the more difficult the synchronization of Type II networks will be.