Nonlinear Dynamical Behavior in BS Evolution Model Based on Small-World Network Added with Mechanism of Preferential Connection

In this paper, we introduce a modified small-world network added withnew links with preferential connection instead of adding randomly,then we apply Bak-Sneppen (BS) evolution model on this network.Several dynamical character of the model such as the evolutiongraph, f₀ avalanche, the critical exponent D and τ, andthe distribution of mutation times of all the nodes, showparticular behaviors different from those of the model based onthe regular network and the small-world network.