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Tolerance against failures and errors is an important feature of many complex networked systems [1,2]. It has been shown that a class of inhomogeneously wired networks called scale-free[1,3] networks can be surprisingly robust to failures,…

物理与社会 · 物理学 2011-05-02 Damon Centola

Many infrastructure networks have a modular structure and are also interdependent. While significant research has explored the resilience of interdependent networks, there has been no analysis of the effects of modularity. Here we develop a…

物理与社会 · 物理学 2016-01-20 Louis Shekhtman , Saray Shai , Shlomo Havlin

The problem of cascading failures in cyber-physical systems is drawing much attention in lieu of different network models for a diverse range of applications. While many analytic results have been reported for the case of large networks,…

社会与信息网络 · 计算机科学 2014-10-15 Ali Eslami , Chuan Huang , Junshan Zhang , Shuguang Cui

We propose a dynamical model for cascading failures in single-commodity network flows. In the proposed model, the network state consists of flows and activation status of the links. Network dynamics is determined by a, possibly…

系统与控制 · 计算机科学 2014-07-15 Ketan Savla , Giacomo Como , Munther A. Dahleh

Real-world complex systems always interact with each other, which causes these systems to collapse in an avalanche or cascading manner in the case of random failures or malicious attacks. The robustness of multilayer networks has attracted…

物理与社会 · 物理学 2019-11-14 Wen-Jun Jiang , Run-Ran Liu , Chun-Xiao Jia

The aim of this paper is to provide qualitative models characterizing interdependencies related failures of two critical infrastructures: the electricity infrastructure and the associated information infrastructure. The interdependencies of…

分布式、并行与集群计算 · 计算机科学 2010-01-10 Jean-Claude Laprie , Karama Kanoun , Mohamed Kaaniche

Robustness in response to unexpected events is always desirable for real-world networks. To improve the robustness of any networked system, it is important to analyze vulnerability to external perturbation such as random failures or…

社会与信息网络 · 计算机科学 2017-02-01 Alan Kuhnle , Nam P. Nguyen , Thang N. Dinh , My T. Thai

This mini-project models propagation of shocks, in time point, through links in connected banks. In particular, financial network of 100 banks out of which 15 are shocked to default (that is, 85.00% of the banks are solvent) is modelled…

统计金融 · 定量金融 2024-02-26 Sunday Akukodi Ugwu

Networks that are fragmented into small disconnected components are prevalent in a large variety of systems. These include the secure communication networks of commercial enterprises, government agencies and illicit organizations, as well…

无序系统与神经网络 · 物理学 2018-07-04 Eytan Katzav , Ofer Biham , Alexander K. Hartmann

We study cascading failures in networks using a dynamical flow model based on simple conservation and distribution laws to investigate the impact of transient dynamics caused by the rebalancing of loads after an initial network failure…

物理与社会 · 物理学 2010-05-04 Ingve Simonsen , Lubos Buzna , Karsten Peters , Stefan Bornholdt , Dirk Helbing

We analyze cascades of defaults in an interbank loan market. The novel feature of this study is that the network structure and the size distribution of banks are derived from empirical data. We find that the ability of a defaulted…

统计金融 · 定量金融 2016-01-21 Fariba Karimi , Matthias Raddant

In an increasingly connected world, the resilience of networked dynamical systems is important in the fields of ecology, economics, critical infrastructures, and organizational behaviour. Whilst we understand small-scale resilience well,…

适应与自组织系统 · 物理学 2018-08-21 Giannis Moutsinas , Weisi Guo

This paper considers a model for cascades on random networks in which the cascade propagation at any node depends on the load at the failed neighbor, the degree of the neighbor as well as the load at that node. Each node in the network…

物理与社会 · 物理学 2014-11-17 Srikanth K. Iyer , Rahul Vaze , Dheeraj Narasimha

With the development of neural networks based machine learning and their usage in mission critical applications, voices are rising against the \textit{black box} aspect of neural networks as it becomes crucial to understand their limits and…

机器学习 · 统计学 2017-08-08 El Mahdi El Mhamdi , Rachid Guerraoui , Sebastien Rouault

Resilience of cyber-physical networks to unexpected failures is a critical need widely recognized across domains. For instance, power grids, telecommunication networks, transportation infrastructures and water treatment systems have all…

系统与控制 · 电气工程与系统科学 2024-02-19 Jean-Baptiste Bouvier , Sai Pushpak Nandanoori , Melkior Ornik

The present study was concerned with network failure problems for simple connected undirected graphs. A connected graph becomes unconnected through edge failure, under the assumptions that only edges can fail and each edge has an identical…

概率论 · 数学 2024-10-29 Hiroaki Mohri , Jun-ichi Takeshita

Many real networks exhibit a layered structure in which links in each layer reflect the function of nodes on different environments. These multiple types of links are usually represented by a multiplex network in which each layer has a…

物理与社会 · 物理学 2014-03-19 C. Buono , L. G. Alvarez Zuzek , P. A. Macri , L. A. Braunstein

In this work, we propose an interdependent, multilayer network model and percolation process that matches infrastructures better than previous models by allowing some nodes to survive when their interdependent neighbors fail. We consider a…

适应与自组织系统 · 物理学 2017-10-04 Run-Ran Liu , Daniel A. Eisenberg , Thomas P. Seager , Ying-Cheng Lai

Populations are seldom completely isolated from their environment. Individuals in a particular geographic or social region may be considered a distinct network due to strong local ties, but will also interact with individuals in other…

物理与社会 · 物理学 2012-03-30 M. Dickison , S. Havlin , H. E. Stanley

There is empirical evidence from a range of disciplines that as the connectivity of a network increases, we observe an increase in the average fitness of the system. But at the same time, there is an increase in the proportion of…

适应与自组织系统 · 物理学 2009-11-11 Paul Ormerod , Rich Colbaugh