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基于度的正/负相关相依网络模型及其鲁棒性研究∗

陈世明 吕辉 徐青刚 许云飞 赖强

物理学报Issue(4):1-11,11.
物理学报Issue(4):1-11,11.DOI:10.7498/aps.64.048902

基于度的正/负相关相依网络模型及其鲁棒性研究∗

The mo del of interdep endent network based on p ositive/negative correlation of the degree and its robustness study

陈世明 1吕辉 1徐青刚 1许云飞 1赖强1

作者信息

  • 1. 华东交通大学电气与电子工程学院,南昌 330013
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摘要

Abstract

The model of interdependent network based on positive/negative correlation of the degree is constructed by the typical Barabási-Albert network in this paper. Dependency modality and dependency degree are considered in the model. Two parameters F and K are defined, which represent the proportion of dependency node and the redundancy of dependency, respectively. We study the influences of different values of F and K on the robustness of interdependent network in cascading failures under degree-based attacks and random attacks and also compare the results with those from the random interdependent network model. The simulation results show that the robustness of both random independency and interdependent network based on positive/negative correlation of the degree decreases as F increases and increases as K increases; in the model of full interdependence (F = 1), the robustness of interdependent network based on positive correlation of the degree is optimal under random attacks; the interdependent network based on negative correlation of the degree shows stronger robustness in the model of partial interdependence (F =0.2, 0.5, 0.8). While the interdependent network based on positive correlation of the degree shows poorer robustness with any value of F under degree-based attacks.

关键词

相依网络/相依程度/鲁棒性/级联失效

Key words

interdependent network/dependency degree/robustness/cascading failure

引用本文复制引用

陈世明,吕辉,徐青刚,许云飞,赖强..基于度的正/负相关相依网络模型及其鲁棒性研究∗[J].物理学报,2015,(4):1-11,11.

基金项目

教育部人文社会科学研究规划基金(批准号:13YJAZH010)和国家自然科学基金(批准号:61364017,60804066)资助的课题.* Project supported by the Humanities and Social Science Project of Ministry of Education of China (Grant No.13YJAZH010) and the National Natural Science Foundation of China (Grant Nos.61364017,60804066) (批准号:13YJAZH010)

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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