关键词: 有向网络, 耦合映像格子, 相继故障, 复杂网络

Abstract: There are a large number of directed networks in the real world. According to a directional edge in the network, a cascading failure model was proposed which is suitable to describe the coupled map lattices with directed network. In this paper, using simulation methods, the cascading failures with BA (Barabási-Albert) scale free and ER (Erds-Rényi) random graph directed networks in this model was researched. Two attack strategies: deliberate attack and random attack were adopted in this fixed node number network, and relevant data were recorded. By analyzing the data, following conclusions can be made: 1) the cascading failures are much easier to occur in directed network than in undirected network; 2) when the networks are attacked, directed networks are more vulnerable than undirected networks; 3) in ER random graph networks, there is linear relationship among four thresholds with fault size increasing when network faults occur.

Key words: directed network, couple map lattices, cascading failure, complex network