基于节点和流关联的双层耦合网络鲁棒性分析
首发时间:2019-03-04
摘要:本文设计了基于节点和流关联的双层耦合网络模型,并利用生成函数思想对其故障传播过程进行了描述。通过对基于节点和流关联的故障传播后剩余网络中最大连通片的占比进行仿真分析,评估网络的鲁棒性,进而发现:节点和流的关联性一方面导致了两层网络之间的拓扑结构化差异,另一方面也导致了两层网络内故障传播强度对整个系统稳定性和安全性影响程度的差异性。通过与传统双层耦合网络研究的结果进行对比分析,本文发现在故障传播的各个阶段,节点和流关联的故障传播都能够加剧故障的传播,极大地影响整个系统的鲁棒性。
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Robustness analysis of the coupled network based on the dependence of nodes and flows
Abstract: In this paper, a model of the coupled networks based on the dependence of nodes and flows is designed, and its failure propagation process is described based on the theory of generating function. By simulating and analyzing the proportion of the giant component of the remaining network after the failure propagation.This paper finds that: on the one hand, the relevance between the nodes and the flows leads to the topology difference between the two layers; on the other hand, it also leads to the difference of the failure propagation intensity on the stability and security of the whole system. Compared with the results of traditional coupled network researches, this paper finds that, failure propagation based on the relevance of nodes and flows aggravates the intensity of failure at various stages of failure propagation, which greatly affects the robustness of the whole system.
Keywords: complex network coupled network the relevance of nodes and flows robustness
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