推广小世界网络上的Sznajd舆论模型

Sznajd Consensus Model in Generalized Small-World Networks

在由两个参数控制的推广小世界网络上进行了二维的Sznajd舆论模型的异步更新演化,探讨了网络拓扑结构对演化的影响,发现随着网络参数的增加,小世界性质的增强,即聚集系数变大和平均最短距离变小,使得Sznajd舆论模型的驰豫时间在一定参数范围内减小并且铁磁性吸引子出现的概率对不同初始态度人员密度有着重要的依赖关系。

The asynchronous updating of two-dimension Sznajd consensus model is simulated in the generalized small-world networks, which is controlled by.he parameters （a,ψ）. The networks exhibit strongly small-world properties for the increasing parameters,i, e. the larger clustering coefficient and the smaller averaged shortest path length, which reduce the relaxation time in certain range of the parameter and have non-trivial dependence for the probability of the ferromagnetic final state on the initial concentration of opinions.