相互依存的网络
复杂网络
计算机科学
统计物理学
相互依存
学位分布
关系(数据库)
数学
缩放比例
Kuramoto模型
网络模型
作者
Hang Zhang,Jie Zhou,Yong Zou,Ming Tang,Gaoxi Xiao,H. Eugene Stanley
出处
期刊:Physical Review E
[American Physical Society]
日期:2020-02-24
卷期号:101 (2): 022314-
被引量:7
标识
DOI:10.1103/physreve.101.022314
摘要
In this paper, we study the robustness of interdependent networks with multiple-dependence (MD) relation which is defined that a node is interdependent on several nodes on another layer, and this node will fail if any of these dependent nodes are failed. We propose a two-layered asymmetric interdependent network (AIN) model to address this problem, where the asymmetric feature is that nodes in one layer may be dependent on more than one node in the other layer with MD relation, while nodes in the other layer are dependent on exactly one node in this layer. We show that in this model the layer where nodes are allowed to have MD relation exhibits different types of phase transitions (discontinuous and hybrid), while the other layer only presents discontinuous phase transition. A heuristic theory based on message-passing approach is developed to understand the structural feature of interdependent networks and an intuitive picture for the emergence of a tricritical point is provided. Moreover, we study the correlation between the intralayer degree and interlayer degree of the nodes and find that this correlation has prominent impact to the continuous phase transition but has feeble effect on the discontinuous phase transition. Furthermore, we extend the two-layered AIN model to general multilayered AIN, and the percolation behaviors and properties of relevant phase transitions are elaborated.
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