Cascading Failure of Complex Networks Based on Load Local Preferential Redistribution Rule

To better explore the universal robustness against cascading failures on complex networks,closely focusing on the load which is the most important physical quantity that can affect the spread of cascading failure,and dynamic process after a node fails,a cascading failure model with tunable parameters is proposed based on the local characteristic of node.With this model we study the cascading failure condition of ER and BA networks,and obtain the formula of phase transition point theoretically.The relationship between the robustness against cascading failures on complex networks and parameters in the model,including the topology parameters,the initial load coefficient,and the redistribution coefficient,is discussed numerically.In addition,theoretical results also are verified by the simulation results of the ER and BA networks.