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Percolation establishes the connectivity of complex networks and is one of the most fundamental critical phenomena for the study of complex systems. On simple networks, percolation displays a second-order phase transition; on multiplex…

Adaptation and Self-Organizing Systems · Physics 2023-03-14 Hanlin Sun , Filippo Radicchi , Jürgen Kurths , Ginestra Bianconi

In this study, we investigate the resilience of duplex networked layers ($\alpha$ and $\beta$) coupled with antagonistic interlinks, each layer of which inhibits its counterpart at the microscopic level, changing the following factors:…

Disordered Systems and Neural Networks · Physics 2016-09-27 Shunsuke Watanabe , Yoshiyuki Kabashima

The critical infrastructures of the nation such as the power grid and the communication network are highly interdependent. Also, it has been observed that there exists complex interdependent relationships between individual entities of the…

Physics and Society · Physics 2017-02-20 Joydeep Banerjee , Arun Das , Arunabha Sen

Recent studies have shown that a system composed from several randomly interdependent networks is extremely vulnerable to random failure. However, real interdependent networks are usually not randomly interdependent, rather a pair of…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Roni Parshani , Celine Rozenblat , Daniele Ietri , Cesar Ducruet , Shlomo Havlin

Modular networks, such as critical infrastructures, are often built from distinct, densely connected modules (e.g., cities) that are sparsely interconnected. When such networks are gradually and randomly disrupted under a percolation…

Physics and Society · Physics 2026-02-12 Yael Kfir-Cohen , Dana Ben Porath , Bnaya Gross , Sergey Buldyrev , Shlomo Havlin

Increased coupling between critical infrastructure networks, such as power and communication systems, will have important implications for the reliability and security of these systems. To understand the effects of power-communication…

Physics and Society · Physics 2015-06-24 Mert Korkali , Jason G. Veneman , Brian F. Tivnan , Paul D. H. Hines

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

Network geometry has strong effects on network dynamics. In particular, the underlying hyperbolic geometry of discrete manifolds has recently been shown to affect their critical percolation properties. Here we investigate the properties of…

Disordered Systems and Neural Networks · Physics 2019-12-25 Ginestra Bianconi , Ivan Kryven , Robert M. Ziff

Antifragility is a property from which systems are able to resist stress and furthermore benefit from it. Even though antifragile dynamics is found in various real-world complex systems where multiple subsystems interact with each other,…

Adaptation and Self-Organizing Systems · Physics 2026-02-04 Hyobin Kim , Omar K. Pineda , Carlos Gershenson

From transportation networks to complex infrastructures, and to social and economic networks, a large variety of systems can be described in terms of multiplex networks formed by a set of nodes interacting through different network layers.…

Social and Information Networks · Computer Science 2015-09-15 Dawei Zhao , Lianhai Wang , Zhen Wang

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

With synchronization being one of nature's most ubiquitous collective behaviors, the field of network synchronization has experienced tremendous growth, leading to significant theoretical developments. However, most of these previous…

Adaptation and Self-Organizing Systems · Physics 2023-04-05 Sayantan Nag Chowdhury , Sarbendu Rakshit , Chittaranjan Hens , Dibakar Ghosh

We analyze the stability of the network's giant connected component under impact of adverse events, which we model through the link percolation. Specifically, we quantify the extent to which the largest connected component of a network…

Recent advances have shown that introducing dependency interactions between two superconducting networks can trigger abrupt, hysteretic normal-superconductor phase transitions. In this study, we demonstrate that such behavior can also arise…

Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

Physics and Society · Physics 2019-03-21 Alberto Aleta , Yamir Moreno

Many systems, ranging from engineering to medical to societal, can only be properly characterized by multiple interdependent networks whose normal functioning depends on one another. Failure of a fraction of nodes in one network may lead to…

Disordered Systems and Neural Networks · Physics 2015-05-13 Sergey V. Buldyrev , Roni Parshani , Gerald Paul , H. Eugene Stanley , Shlomo Havlin

Percolation is an emblematic model to assess the robustness of interconnected systems when some of their components are corrupted. It is usually investigated in simple scenarios, such as the removal of the system's units in random order, or…

Statistical Mechanics · Physics 2021-05-03 Oriol Artime , Manlio De Domenico

The existence of inter-dependence between multiple networks imparts an additional scale of complexity to such systems often referred to as `network of networks' (NON). We have investigated the robustness of NONs to random breakdown of their…

Physics and Society · Physics 2019-01-09 Aradhana Singh , Sitabhra Sinha

Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

The robustness of complex networks with dependencies has been studied in recent years. However, previous studies focused on the robustness of networks composed of dependency links without network topology. In this study, we will analyze the…

Physics and Society · Physics 2014-12-09 Yuansheng Lin , Daqing Li , Rui Kang , Shlomo Havlin
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