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The functionality of nodes in a network is often described by the structural feature of belonging to the giant component. However, when dealing with problems like transport, a more appropriate functionality criterion is for a node to belong…

Physics and Society · Physics 2021-02-03 Bnaya Gross , Ivan Bonamassa , Shlomo Havlin

In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network…

Statistical Mechanics · Physics 2008-03-14 Aram Galstyan , Paul Cohen

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

Recently much attention has been paid to the study of the robustness of interdependent and multiplex networks and, in particular, networks of networks. The robustness of interdependent networks can be evaluated by the size of a mutually…

Statistical Mechanics · Physics 2015-06-18 Ginestra Bianconi , Sergey N. Dorogovtsev

The dynamic network of relationships among corporations underlies cascading economic failures including the current economic crisis, and can be inferred from correlations in market value fluctuations. We analyze the time dependence of the…

Statistical Finance · Quantitative Finance 2010-11-18 Dion Harmon , Blake Stacey , Yavni Bar-Yam , Yaneer Bar-Yam

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…

Physics and Society · Physics 2019-11-14 Wen-Jun Jiang , Run-Ran Liu , Chun-Xiao Jia

We consider a network whose links have random capacities and in which a certain target amount of flow must be carried from some source nodes to some destination nodes. Each destination node has a fixed demand that must be satisfied and each…

Computation · Statistics 2018-05-10 Zdravko I. Botev , Pierre L'Ecuyer , Bruno Tuffin

Localized perturbations in a real-world network have the potential to trigger cascade failures at the whole system level, hindering its operations and functions. Standard approaches analytically tackling this problem are mostly based either…

Physics and Society · Physics 2022-04-19 Angelo Valente , Manlio De Domenico , Oriol Artime

Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

Physics and Society · Physics 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

Cascading failures are a common phenomenon in complex networked systems where failures at only a few nodes may trigger a process of sequential failure. We applied a flow redistribution model to investigate the robustness against cascading…

Networking and Internet Architecture · Computer Science 2022-03-03 I-Cheng Lin , Carlee Joe-Wong , Osman Yagan

This paper focuses on cascading line failures in the transmission system of the power grid. Recent large-scale power outages demonstrated the limitations of percolation- and epid- emic-based tools in modeling cascades. Hence, we study…

Systems and Control · Computer Science 2014-02-11 Saleh Soltan , Dorian Mazauric , Gil Zussman

Power-law networks such as the Internet, terrorist cells, species relationships, and cellular metabolic interactions are susceptible to node failures, yet maintaining network connectivity is essential for network functionality.…

Physics and Society · Physics 2015-05-08 Sarah LaRocca , Seth Guikema

Networks in nature rarely function in isolation but instead interact with one another with a form of a network of networks (NoN). A network of networks with interdependency between distinct networks contains instability of abrupt collapse…

Physics and Society · Physics 2018-04-20 Byungjoon Min , Muhua Zheng

While network abrupt breakdowns due to overloads and cascading failures have been studied extensively, the critical exponents and the universality class of such phase transitions have not been discussed. Here, we study breakdowns triggered…

Physics and Society · Physics 2024-03-07 Ignacio A. Perez , Dana Ben Porath , Cristian E. La Rocca , Lidia A. Braunstein , Shlomo Havlin

This paper centers on the comparison of three different models that describe cascading failures of power systems. Specifically, these models are different in characterizing the physical properties of power networks and computing the branch…

Optimization and Control · Mathematics 2017-08-01 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

In this work, cascading transmission line failures are studied through a dynamical model of the power system operating under fixed conditions. The power grid is modeled as a stochastic dynamical system where first-principles…

Systems and Control · Electrical Eng. & Systems 2019-12-18 Jacob Roth , David A. Barajas-Solano , Panos Stinis , Jonathan Weare , Mihai Anitescu

In studies on complex network systems using graph theory, eigen-analysis is typically performed on an undirected graph model of the network. However, when analyzing cascading failures in a power system, the interactions among failures…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Zhenping Guo , Xiaowen Su , Kai Sun , Byungkwon Park , Srdjan Simunovic

We study the phenomenon of entrainment in processor sharing networks, whereby, while individual network resources have sufficient capacity to met demand, the requirement for simultaneous availability of resources means that a network may…

Probability · Mathematics 2007-08-01 Jennie Hansen , Cian Reynolds , Stan Zachary

The interdependency between different network layers is commonly observed in Cyber Physical Systems and communication networks adopting the dissociation of logic and hardware implementation, such as Software Defined Networking and Network…

Networking and Internet Architecture · Computer Science 2019-03-06 Genya Ishigaki , Riti Gour , Jason P. Jue

We study the cascading failures in a system composed of two interdependent square lattice networks A and B placed on the same Cartesian plane, where each node in network A depends on a node in network B randomly chosen within a certain…

Data Analysis, Statistics and Probability · Physics 2012-06-04 Wei Li , Amir Bashan , Sergey V. Buldyrev , H. Eugene Stanley , Shlomo Havlin