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 (Barabasi-Albert) scale free and ER (Erdǒs-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.%针对现实世界中存在大量的有向网络,根据有向网络中边的有向性,提出适合描述有向网络耦合映像格子(CML)的相继故障模型,利用仿真分析的方法研究了BA无标度有向网络和ER随机图有向网络在该模型作用下的相继故障行为.仿真中,对节点数固定的网络采用蓄意攻击和随机攻击两种策略进行攻击,并记录相关数据.通过对所得数据的分析发现:1)这两类有向网络的相继故障进程比同规模的无向网络要剧烈;2)当网络遭受攻击时,有向网络比无向网络更加脆弱;3)ER随机图网络相继故障发生过程中引起网络相继故障规模增长的4个临界值之间存在线性关系.
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