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Related papers: Cascading Failures in Interdependent Systems: Impa…

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Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading failure model. In this model, lines have random capacities that initially…

Probability · Mathematics 2016-04-14 F. Sloothaak , S. C. Borst , A. P. Zwart

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…

Statistical Finance · Quantitative Finance 2016-01-21 Fariba Karimi , Matthias Raddant

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

A characteristic property of networks is their ability to propagate influences, such as infectious diseases, behavioral changes, and failures. An especially important class of such contagious dynamics is that of cascading processes. These…

Physics and Society · Physics 2017-01-26 Adilson E. Motter , Yang Yang

This work analyses the interdependent link creation of patent and shareholding links in interfirm networks, and how this dynamics affects the resilience of such networks in the face of cascading failures. Using the Orbis dataset, we…

Social and Information Networks · Computer Science 2024-10-14 Daniel Marcolin , Yasuyuki Todo , Mahendra Piraveenan

In this paper the interactions between component failures are quantified and the interaction matrix and interaction network are obtained. The quantified interactions can capture the general propagation patterns of the cascades from…

Systems and Control · Computer Science 2014-08-26 Junjian Qi , Kai Sun , Shengwei Mei

Modern large network systems normally work in cooperation and incorporate dependencies between their components for purposes of efficiency and regulation. Such dependencies may become a major risk since they can cause small scale failures…

Physics and Society · Physics 2020-08-12 Dong Zhou , Amir Bashan

As economic entities become increasingly interconnected, a shock in a financial network can provoke significant cascading failures throughout the system. To study the systemic risk of financial systems, we create a bi-partite banking…

General Finance · Quantitative Finance 2013-03-11 Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

For interdependent networks with identity dependency map, percolation is exactly the same with that on a single network and follows a second-order phase transition, while for random dependency, percolation follows a first-order phase…

Social and Information Networks · Computer Science 2016-02-17 Jing Yuan , Lixiang Li , Haipeng Peng , Jürgen Kurths , Xiaojing Hua , Yixian Yang

We consider the problem of predicting power failure cascades due to branch failures. We propose a flow-free model based on graph neural networks that predicts grid states at every generation of a cascade process given an initial contingency…

Systems and Control · Electrical Eng. & Systems 2024-04-26 Sathwik Chadaga , Xinyu Wu , Eytan Modiano

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…

Systems and Control · Computer Science 2014-07-15 Ketan Savla , Giacomo Como , Munther A. Dahleh

Understanding and characterizing the vulnerability of urban infrastructures, which refers to the engineering facilities essential for the regular running of cities and that exist naturally in the form of networks, is of great value to us.…

Machine Learning · Computer Science 2023-08-02 Jinzhu Mao , Liu Cao , Chen Gao , Huandong Wang , Hangyu Fan , Depeng Jin , Yong Li

Many real-world networks depend on other networks, often in non-trivial ways, to maintain their functionality. These interdependent "networks of networks" are often extremely fragile. When a fraction $1-p$ of nodes in one network randomly…

Physics and Society · Physics 2013-11-20 L. D. Valdez , P. A. Macri , H. E. Stanley , L. A. Braunstein

Recent studies show that in interdependent networks a very small failure in one network may lead to catastrophic consequences. Above a critical fraction of interdependent nodes, even a single node failure can invoke cascading failures that…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Amir Bashan , Yehiel Berezin , Sergey V. Buldyrev , Shlomo Havlin

The 2008 financial crisis illustrated the need for a thorough, functional understanding of systemic risk in strongly interconnected financial structures. Dynamic processes on complex networks being intrinsically difficult, most recent…

General Finance · Quantitative Finance 2015-08-05 Matteo Smerlak , Brady Stoll , Agam Gupta , James S. Magdanz

Networks in the real world do not exist as isolated entities, but they are often part of more complicated structures composed of many interconnected network layers. Recent studies have shown that such mutual dependence makes real networked…

Physics and Society · Physics 2014-04-23 Filippo Radicchi

A new class of probabilistic models for cascading failure propagation in interconnected systems is proposed. The models take into account important characteristics of real systems that are not considered in existing generic approaches.…

Disordered Systems and Neural Networks · Physics 2010-03-31 Jörg Lehmann , Jakob Bernasconi

Electrical power grids are vulnerable to cascading failures that can lead to large blackouts. Detection and prevention of cascading failures in power grids is impor- tant. Currently, grid operators mainly monitor the state (loading level)…

Physics and Society · Physics 2015-07-20 Martijn Warnier , Stefan Dulman , Yakup Koç , Eric Pauwels

We investigate the role of degree correlation among nodes on the stability of complex networks, by studying spectral properties of randomly weighted matrices constructed from directed Erd\"{o}s-R\'enyi and scale-free random graph models. We…

Statistical Mechanics · Physics 2007-05-23 Markus Brede , Sitabhra Sinha

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