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We investigate the failure mechanisms of load sharing complex systems. The system is composed of multiple nodes or components whose failures are determined based on the interaction of their respective strengths and loads (or capacity and…

Adaptation and Self-Organizing Systems · Physics 2014-02-03 Shahnewaz Siddique , Vitali Volovoi

Operation of critical infrastructures are highly interdependent on each other. Such dependencies causes failure in these infrastructures to cascade on an initial failure event. Owing to this vulnerability it is imperative to incorporate…

Networking and Internet Architecture · Computer Science 2017-03-21 Joydeep Banerjee , Arunabha Sen , Chenyang Zho

In order to identify the extent to which results from topological graph models are useful for modeling vulnerability in electricity infrastructure, we measure the susceptibility of power networks to random failures and directed attacks…

Physics and Society · Physics 2015-03-13 Paul Hines , Eduardo Cotilla-Sanchez , Seth Blumsack

Studying models of cyber epidemics over arbitrary complex networks can deepen our understanding of cyber security from a whole-system perspective. In this paper, we initiate the investigation of cyber epidemic models that accommodate the…

Cryptography and Security · Computer Science 2016-03-29 Maochao Xu , Gaofeng Da , Shouhuai Xu

Potential vulnerabilities in a power grid can be exposed by identifying those transmission lines on which attacks (in the form of interference with their transmission capabilities) causes maximum disruption to the grid. In this study, we…

Optimization and Control · Mathematics 2015-03-10 Taedong Kim , Stephen J. Wright , Daniel Bienstock , Sean Harnett

When an initial failure of nodes occurs in interdependent networks, a cascade of failure between the networks occurs. Earlier studies focused on random initial failures. Here we study the robustness of interdependent networks under targeted…

Physics and Society · Physics 2011-07-22 Xuqing Huang , Jianxi Gao , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

In our daily lives, we rely on the proper functioning of supply networks, from power grids to water transmission systems. A single failure in these critical infrastructures can lead to a complete collapse through a cascading failure…

Physics and Society · Physics 2021-06-03 Franz Kaiser , Vito Latora , Dirk Witthaut

In the modern world, we are permanently using, leveraging, interacting with, and relying upon systems of ever higher sophistication, ranging from our cars, recommender systems in e-commerce, and networks when we go online, to integrated…

Artificial Intelligence · Computer Science 2023-06-23 Patrick Rodler

We study the effects of introducing information inefficiency in a model for a random linear economy with a representative consumer. This is done by considering statistical, instead of classical, economic general equilibria. Employing two…

General Finance · Quantitative Finance 2016-10-11 Joao Pedro Jerico , Renato Vicente

We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical quantities in the network, as characterized…

Disordered Systems and Neural Networks · Physics 2009-11-10 Adilson E. Motter , Ying-Cheng Lai

In recent times, the functioning of various aspects of modern society---ranging from the various infrastructural utilities such as electrical power, water to socio-economical aspects such as telecommunications, business, commerce,…

Networking and Internet Architecture · Computer Science 2016-12-30 Waqar Ahmed , Osman Hasan , Usman Pervez , Junaid Qadir

The understanding of cascading failures in complex systems has been hindered by the lack of realistic large-scale modeling and analysis that can account for variable system conditions. Here, using the North American power grid, we identify,…

Physics and Society · Physics 2018-04-23 Yang Yang , Takashi Nishikawa , Adilson E. Motter

Power systems are large scale cyber-physical critical infrastructure that form the basis of modern society. The reliability and resilience of the grid is dependent on the correct functioning of related subsystems, including computing,…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Katherine Davis

Link failures repeatedly induce large-scale outages in power grids and other supply networks. Yet, it is still not well understood, which links are particularly prone to inducing such outages. Here we analyze how the nature and location of…

Physics and Society · Physics 2016-04-06 Dirk Witthaut , Martin Rohden , Xiaozhu Zhang , Sarah Hallerberg , Marc Timme

Industrial Control Systems (ICS) underpin the United States' critical infrastructure, managing essential services such as power, water, and transportation that are vital to national security and public safety. However, increasing digital…

Cryptography and Security · Computer Science 2025-10-17 Jack Vanlyssel

Critical infrastructures provide essential services for our modern society. Large-scale natural hazards, such as floods or storms, can disrupt multiple critical infrastructures at once. In addition, a localized failure of one service can…

Physics and Society · Physics 2024-10-10 Moritz Schneider , Lukas Halekotte , Andrea Mentges , Frank Fiedrich

We model smart grids as complex interdependent networks, and study targeted attacks on smart grids for the first time. A smart grid consists of two networks: the power network and the communication network, interconnected by edges.…

Social and Information Networks · Computer Science 2015-02-19 Sushmita Ruj , Arindam Pal

The emergence and evolution of real-world systems have been extensively studied in the last few years. However, equally important phenomena are related to the dynamics of systems' collapse, which has been less explored, especially when they…

Physics and Society · Physics 2019-09-27 Jie Li , Chengyi Xia , Gaoxi Xiao , Yamir Moreno

Within the cyber-physical-social-climate nexus, all systems are deeply interdependent: cyber infrastructure facilitates communication, data processing, and automation across physical systems (such as power grids and networks), while social…

Cryptography and Security · Computer Science 2025-10-16 Tooba Aamir , Marthie Grobler , Giovanni Russello

The U.S. power grid underpins national security, public safety, and economic stability, but faces growing cyber risks from vulnerabilities in industrial control systems, remote access, and poor cyber hygiene. Despite its critical…

Cryptography and Security · Computer Science 2025-10-17 Jack Vanlyssel