Percolation transitions in edge-coupled interdependent networks with directed dependency links  

作　　者：高彦丽 于海波 周杰 周银座 陈世明 Yan-Li Gao;Hai-Bo Yu;Jie Zhou;Yin-Zuo Zhou;Shi-Ming Chen(School of Electrical and Automation Engineering,East China JiaoTong University,Nanchang 330013,China;School of Physics and Electronic Science,East China Normal University,Shanghai 200241,China;Alibaba Research Center for Complexity Sciences,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]School of Electrical and Automation Engineering,East China JiaoTong University,Nanchang 330013,China [2]School of Physics and Electronic Science,East China Normal University,Shanghai 200241,China [3]Alibaba Research Center for Complexity Sciences,Hangzhou Normal University,Hangzhou 311121,China

出　　处：《Chinese Physics B》2023年第9期586-595,共10页中国物理B（英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos.61973118,51741902,11761033,12075088,and 11835003);Project in JiangXi Province Department of Science and Technology(Grant Nos.20212BBE51010 and 20182BCB22009);the Natural Science Foundation of Zhejiang Province(Grant No.Y22F035316)。

摘　　要：We propose a model of edge-coupled interdependent networks with directed dependency links(EINDDLs)and develop the theoretical analysis framework of this model based on the self-consistent probabilities method.The phase transition behaviors and parameter thresholds of this model under random attacks are analyzed theoretically on both random regular(RR)networks and Erd¨os-Renyi(ER)networks,and computer simulations are performed to verify the results.In this EINDDL model,a fractionβof connectivity links within network B depends on network A and a fraction(1-β)of connectivity links within network A depends on network B.It is found that randomly removing a fraction(1-p)of connectivity links in network A at the initial state,network A exhibits different types of phase transitions(first order,second order and hybrid).Network B is rarely affected by cascading failure whenβis small,and network B will gradually converge from the first-order to the second-order phase transition asβincreases.We present the critical values ofβfor the phase change process of networks A and B,and give the critical values of p andβfor network B at the critical point of collapse.Furthermore,a cascading prevention strategy is proposed.The findings are of great significance for understanding the robustness of EINDDLs.

关 键 词：edge-coupled interdependent networks with directed dependency links percolation transitions cascading failures robustness analysis 

分 类 号：O157.5[理学—数学]