SZNAJD MODEL WITH SYNCHRONOUS UPDATING ON COMPLEX NETWORKS

Abstract

We analyze the evolution of Sznajd Model with synchronous updating in several complex networks. Similar to the model on square lattice, we have found a transition between the state with nonconsensus and the state with complete consensus in several complex networks. Furthermore, by adjusting the network parameters, we find that a large clustering coefficient does not favor development of a consensus. In particular, in the limit of large system size with the initial concentration p =0.5 of opinion +1, a consensus seems to be never reached for the Watts–Strogatz small-world network, when we fix the connectivity k and the rewiring probability p s ; nor for the scale-free network, when we fix the minimum node degree m and the triad formation step probability p t .