Relationship between fragility and resilience in complex networks

被引:6
作者
Zhang, Liwen [1 ]
Xiang, Linying [1 ]
Zhu, Jiawei [1 ]
机构
[1] Northeastern Univ Qinhuangdao, Sch Control Engn, Qinhuangdao 066004, Peoples R China
基金
中国国家自然科学基金;
关键词
Complex network; Fragility; Resilience; Random graph; ROBUSTNESS;
D O I
10.1016/j.physa.2022.128039
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
While the impacts of fragility and resilience on the networked system have attracted a lot of attention, theoretical analyses of the relationship between fragility and resilience are still lacking. In this paper, we explain from a mathematical perspective that when the network is attacked, the fragility will increase and the resilience will decrease. In addition, we provide analytical and numerical supporting evidence for the relationship that fragility and resilience of complex networks subject to a linear negative correlation in double logarithmic coordinates. This means that the impact of external attacks on system's resilience performance is heavier than that on fragility.(c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数:18
相关论文
共 46 条
[1]   Structure and dynamical behavior of non-normal networks [J].
Asllani, Malbor ;
Lambiotte, Renaud ;
Carletti, Timoteo .
SCIENCE ADVANCES, 2018, 4 (12)
[2]  
Betzler K., 2003, FITTING MATLA
[3]   Self-similar scaling of density in complex real-world networks [J].
Blagus, Neli ;
Subelj, Lovro ;
Bajec, Marko .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (08) :2794-2802
[4]  
Bollobas B., 2011, Random Graphs, V2nd
[5]   Network robustness and fragility: Percolation on random graphs [J].
Callaway, DS ;
Newman, MEJ ;
Strogatz, SH ;
Watts, DJ .
PHYSICAL REVIEW LETTERS, 2000, 85 (25) :5468-5471
[6]   Metropolitan rail network robustness [J].
Cats, Oded ;
Krishnakumari, Panchamy .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 549
[7]   Minimum-Energy Distributed Consensus Control of Multiagent Systems: A Network Approximation Approach [J].
Chen, Fei ;
Chen, Jie .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (03) :1144-1159
[8]   Resilience of the Internet to random breakdowns [J].
Cohen, R ;
Erez, K ;
ben-Avraham, D ;
Havlin, S .
PHYSICAL REVIEW LETTERS, 2000, 85 (21) :4626-4628
[9]  
Cohen R., 2010, Complex Networks: Structure, Robustness and Function
[10]   Characterization of complex networks: A survey of measurements [J].
Costa, L. Da F. ;
Rodrigues, F. A. ;
Travieso, G. ;
Boas, P. R. Villas .
ADVANCES IN PHYSICS, 2007, 56 (01) :167-242