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Related papers: Cascading Link Failure in the Power Grid: A Percol…

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Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

Systems and Control · Computer Science 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

In this paper, we study the robustness of interdependent networks, in which the state of one network depends on the state of the other network and vice versa. In particular, we focus on the interdependency between the power grid and…

Optimization and Control · Mathematics 2014-07-11 Marzieh Parandehgheibi , Eytan Modiano

The dynamics of cascading failures in spatial interdependent networks significantly depend on the interaction range of dependency couplings between layers. In particular, for increasing range of dependency couplings, different types of…

Physics and Society · Physics 2023-07-07 Bnaya Gross , Ivan Bonamassa , Shlomo Havlin

We study a system composed from two interdependent networks A and B, where a fraction of the nodes in network A depends on the nodes of network B and a fraction of the nodes in network B depends on the nodes of network A. Due to the…

Data Analysis, Statistics and Probability · Physics 2015-05-18 Roni Parshani , Sergey V. Buldyrev , Shlomo Havlin

Physical infrastructure systems supply crucial resources to residential, commercial, and industrial activities. These infrastructure systems generally consist of multiple types of infrastructure assets that are interdependent. In the event…

Optimization and Control · Mathematics 2024-07-25 Yijiang Li , Kibaek Kim , Sven Leyffer , Matt Menickelly , Lawrence Paul Lewis , Joshua Bergerson

We study living neural networks by measuring the neurons' response to a global electrical stimulation. Neural connectivity is lowered by reducing the synaptic strength, chemically blocking neurotransmitter receptors. We use a…

Neurons and Cognition · Quantitative Biology 2010-07-30 Ilan Breskin , Jordi Soriano , Elisha Moses , Tsvi Tlusty

Many complex networks in nature have directed links, a property that affects the network's navigability and large-scale topology. Here we study the percolation properties of such directed scale-free networks with correlated in- and…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. Schwartz , R. Cohen , D. ben-Avraham , A. -L. Barabasi , S. Havlin

Percolation in complex networks is viewed as both: a process that mimics network degradation and a tool that reveals peculiarities of the underlying network structure. During the course of percolation, networks undergo non-trivial…

Physics and Society · Physics 2019-02-05 Ivan Kryven

We study the interaction between the power grid and the communication network used for its control. We design a centralized emergency control scheme under both full and partial communication support, to improve the performance of the power…

Optimization and Control · Mathematics 2015-05-07 Marzieh Parandehgheibi , Konstantin Turitsyn , Eytan Modiano

Cascading failures and epidemic dynamics, as two successful application realms of network science, are usually investigated separately. How do they affect each other is still one open, interesting problem. In this letter, we couple both…

Social and Information Networks · Computer Science 2016-11-23 Dawei Zhao , Zhen Wang , Gaoxi Xiao , Bo Gao , Lianhai Wang

Much work has been devoted to studying percolation of networks and interdependent networks under varying levels of failures. Researchers have considered many different realistic network structures, but thus far no study has incorporated the…

Physics and Society · Physics 2018-11-21 Louis M. Shekhtman , Shlomo Havlin

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…

Physics and Society · Physics 2014-11-17 Srikanth K. Iyer , Rahul Vaze , Dheeraj Narasimha

Relying heavily on the secure supply of natural gas, the modern clean electric power systems are prone to the gas disturbances induced by the inherent rupture and leakage faults. For the first time, this paper studies the cross-system…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Ruizhi Yu , Suhan Zhang , Wei Gu , Shuai Lu

Due to the evolving nature of power systems and the complicated coupling relationship of power devices, it has been a great challenge to identify the contingencies that could trigger cascading blackouts of power systems. This paper provides…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

Recently the problem of classes of vulnerable vertices (represented by colors) in complex networks has been discussed, where all vertices with the same vulnerability are prone to fail together. Utilizing redundant paths each avoiding one…

Statistical Mechanics · Physics 2018-12-19 Andrea Kadović , Sebastian M. Krause , Guido Caldarelli , Vinko Zlatić

When real networks are considered, coupled networks with connectivity and feedback-dependency links are not rare but more general. Here we develop a mathematical framework and study numerically and analytically percolation of interacting…

Physics and Society · Physics 2013-10-08 Gaogao Dong , Lixin Tian , Ruijin Du , Min Fu , H. Eugene Stanley

It was recently recognized that interdependencies among different networks can play a crucial role in triggering cascading failures and hence system-wide disasters. A recent model shows how pairs of interdependent networks can exhibit an…

Physics and Society · Physics 2012-12-06 Di Zhou , Gregorio D'Agostino , Antonio Scala , H. Eugene Stanley

A central concern of network operators is to estimate the probability of an incident that affects a significant part and thus may yield to a breakdown. We answer this question by modeling how a failure of either a node or an edge will…

Applications · Statistics 2018-02-22 Sandra König

In many systems consisting of interacting subsystems, the complex interactions between elements can be represented using multilayer networks. However percolation, key to understanding connectivity and robustness, is not trivially…

Disordered Systems and Neural Networks · Physics 2020-11-04 G. J. Baxter , R. A. da Costa , S. N. Dorogovtsev , J. F. F. Mendes

As a fundamental structural transition in complex networks, core percolation is related to a wide range of important problems. Yet, previous theoretical studies of core percolation have been focusing on the classical Erd\H{o}s-R\'enyi…

Statistical Mechanics · Physics 2013-01-01 Yang-Yu Liu , Endre Csóka , Haijun Zhou , Márton Pósfai