复杂网络度分布的异质性对其同步能力的影响

讨论了一类度分布在无标度网络和随机网络之间连续可调的网络模型.提出连接密度的概念,在网络规模保持不变的前提下,研究度分布的异质性、连接密度对网络同步能力的影响.根据同步判据研究两类网络的同步能力.类型Ⅰ网络,其同步能力与网络度分布的异质性的相关性受网络连接密度的影响,连接密度较小时同步能力与度分布异质性无关.类型Ⅱ网络,其同步能力受网络度分布异质性和网络规模及网络连接密度共同影响.异质性越强、网络规模越大、连接密度越小,类型Ⅱ网络越不容易实现同步.

Effect of Heterogeneous Distribution of Degree on Synchronization in Complex Networks

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 ...