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Higher-order interactions can dramatically reshape collective dynamics, yet how their microscopic organization controls macroscopic critical behavior remains unclear. Here we develop a new theory to study contagion dynamics on hypergraphs…

Physics and Society · Physics 2026-01-16 Federico Malizia , Andrés Guzmán , Federico Battiston , István Z. Kiss

Our society nowadays is governed by complex networks, examples being the power grids, telecommunication networks, biological networks, and social networks. It has become of paramount importance to understand and characterize the dynamic…

Reliable functioning of infrastructure networks is essential for our modern society. Cascading failures are the cause of most large-scale network outages. Although cascading failures often exhibit dynamical transients, the modeling of…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Benjamin Schäfer , Dirk Witthaut , Marc Timme , Vito Latora

Extensive research has focused on studying the robustness of interdependent non-directed networks and the design of mitigation strategies aimed at reducing disruptions caused by cascading failures. However, real systems such as power and…

Physics and Society · Physics 2025-01-15 Ignacio A. Perez , Cristian E. La Rocca

In this paper, we propose a dynamical model to capture cascading failures among interconnected organizations in the global financial system. Failures can take the form of bankruptcies, defaults, and other insolvencies. The network that…

Optimization and Control · Mathematics 2023-11-13 Leonardo Stella , Dario Bauso , Franco Blanchini , Patrizio Colaneri

We study a problem of failure of two interdependent networks in the case of correlated degrees of mutually dependent nodes. We assume that both networks (A and B) have the same number of nodes $N$ connected by the bidirectional dependency…

Disordered Systems and Neural Networks · Physics 2015-05-20 Sergey V. Buldyrev , Nathaniel Shere , Gabriel A. Cwilich

The increased complexity of infrastructure systems has resulted in critical interdependencies between multiple networks---communication systems require electricity, while the normal functioning of the power grid relies on communication…

Physics and Society · Physics 2020-11-10 Michael M. Danziger , Albert-László Barabási

The function of a real network depends not only on the reliability of its own components, but is affected also by the simultaneous operation of other real networks coupled with it. Robustness of systems composed of interdependent network…

Physics and Society · Physics 2015-07-10 Filippo Radicchi

The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

Disordered Systems and Neural Networks · Physics 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

We study cascades on a two-layer multiplex network, with asymmetric feedback that depends on the coupling strength between the layers. Based on an analytical branching process approximation, we calculate the systemic risk measured by the…

Physics and Society · Physics 2017-01-24 Rebekka Burkholz , Matt V. Leduc , Antonios Garas , Frank Schweitzer

Complex networks with heterogeneous distribution of loads may undergo a global cascade of overload failures when highly loaded nodes or edges are removed due to attacks or failures. Since a small attack or failure has the potential to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Adilson E. Motter

Network cascade refers to diffusion processes in which outcome changes within part of an interconnected population trigger a sequence of changes across the entire network. These cascades are governed by underlying diffusion networks, which…

Social and Information Networks · Computer Science 2025-06-25 Yubai Yuan , Siyu Huang , Abdul Basit Adeel

Large-scale power blackouts caused by cascading failure are inflicting enormous socioeconomic costs. We study the problem of cascading link failures in power networks modelled by random geometric graphs from a percolation-based viewpoint.…

Networking and Internet Architecture · Computer Science 2010-12-09 Hongda Xiao , Edmund Yeh

Threshold rules of spreading in binary-state networks lead to cascades. We study persistent cascade-recovery dynamics on quasi-robust networks, i.e., networks which are robust against small trigger but may collapse for larger one. It is…

Physics and Society · Physics 2019-05-22 Nanxin Wei , Bo Fan

Different from the direct contact in epidemics spread, overload failures propagate through hidden functional dependencies. Many studies focused on the critical conditions and catastrophic consequences of cascading failures. However, to…

Physics and Society · Physics 2015-09-16 Jichang Zhao , Daqing Li , Hillel Sanhedrai , Reuven Cohen , Shlomo Havlin

We study the cascading failure of networks due to overload, using the betweenness centrality of a node as the measure of its load following the Motter and Lai model. We study the fraction of survived nodes at the end of the cascade $p_f$ as…

Physics and Society · Physics 2018-05-30 Yosef Kornbluth , Gilad Barach , Mark Tuchman , Benjamin Kadish , Gabriel Cwilich , Sergey V. Buldyrev

We study, both analytically and numerically, the cascade of failures in two coupled network systems A and B, where multiple support-dependent relations are randomly built between nodes of networks A and B. In our model we assume that each…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Jia Shao , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

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

Group-based reinforcement can induce discontinuous transitions from inactive to active phases in higher-order contagion models. However, these results are typically obtained on static interaction structures or within mean-field…

Cascades are self-amplifying processes triggered by feedback mechanisms that may cause a substantial part of a macroscopic system to change its phase in response of a relatively small local event. The theoretical background for these…

Disordered Systems and Neural Networks · Physics 2022-07-06 I. Bonamassa , B. Gross , M. Laav , I. Volotsenko , A. Frydman , S. Havlin
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