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Cascading failure is a potentially devastating process that spreads on real-world complex networks and can impact the integrity of wide-ranging infrastructures, natural systems, and societal cohesiveness. One of the essential features that…

In the context of epidemic spreading, many intricate dynamical patterns can emerge due to the cooperation of different types of pathogens or the interaction between the disease spread and other failure propagation mechanism. To unravel such…

Physics and Society · Physics 2024-05-07 Bo Li , David Saad

We study cascading failures in a system comprising interdependent networks/systems, in which nodes rely on other nodes both in the same system and in other systems to perform their function. The (inter-)dependence among nodes is modeled…

Applications · Statistics 2018-02-13 Richard J. La

Integrated cyber-physical systems (CPSs), such as the smart grid, are increasingly becoming the underpinning technology for major industries. A major concern regarding such systems are the seemingly unexpected large-scale failures, which…

Physics and Society · Physics 2018-07-27 Yingrui Zhang , Osman Yagan

The rapid advancement of technology underscores the critical importance of robustness in complex network systems. This paper presents a framework for investigating the structural robustness of interconnected network models. This paper…

Physics and Society · Physics 2023-11-01 Dong Gaogao , Sun Nannan , Wang Fan

We study the percolation in coupled networks with both inner-dependency and inter-dependency links, where the inner- and inter-dependency links represent the dependencies between nodes in the same or different networks, respectively. We…

Physics and Society · Physics 2016-05-09 Run-Ran Liu , Ming Li , Chun-Xiao Jia , Bing-Hong Wang

In the real world, the stable operation of a network is usually inseparable from the mutual support of other networks. In such an interdependent network, a node in one layer may depend on multiple nodes in another layer, forming a complex…

Social and Information Networks · Computer Science 2025-09-30 Cheng Qian , Dandan Zhao , Bo Zhang , Ming Zhong , Jianmin Han , Shenghong Li , Hao Peng , Wei Wang

We study cascading failures in networks using a dynamical flow model based on simple conservation and distribution laws to investigate the impact of transient dynamics caused by the rebalancing of loads after an initial network failure…

Physics and Society · Physics 2010-05-04 Ingve Simonsen , Lubos Buzna , Karsten Peters , Stefan Bornholdt , Dirk Helbing

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

It was recently recognized that interdependencies among different networks can play a crucial role in triggering cascading failures and hence system-wide disasters. A recent model shows how pairs of interdependent networks can exhibit an…

Physics and Society · Physics 2012-12-06 Di Zhou , Gregorio D'Agostino , Antonio Scala , H. Eugene Stanley

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…

The functionality of an entity frequently necessitates the support of a group situated in another layer of the system. To unravel the profound impact of such group support on a system's resilience against cascading failures, we devise a…

Physics and Society · Physics 2024-08-05 Lei Chen , Chunxiao Jia , Run-Ran Liu , Fanyuan Meng

Multilayer networked systems are ubiquitous in nature and engineering, and the robustness of these systems against failures is of great interest. A main line of theoretical pursuit has been percolation induced cascading failures, where…

Social and Information Networks · Computer Science 2019-11-27 Run-Ran Liu , Chun-Xiao Jia , Ying-Cheng Lai

Current network models assume one type of links to define the relations between the network entities. However, many real networks can only be correctly described using two different types of relations. Connectivity links that enable the…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Roni Parshani , Sergey V. Buldyrev , Shlomo Havlin

Interdependent networks are characterized by two kinds of interactions: The usual connectivity links within each network and the dependency links coupling nodes of different networks. Due to the latter links such networks are known to…

Physics and Society · Physics 2015-06-18 Marcell Stippinger , János Kertész

Interdependent networks have been shown to be extremely vulnerable based on the percolation model. Parshani et. al further indicated that the more inter-similar networks are, the more robust they are to random failure. Our understanding of…

Physics and Society · Physics 2015-05-27 Fei Tan , Yongxiang Xia

Robustness and cascading failures in interdependent systems has been an active research field in the past decade. However, most existing works use percolation-based models where only the largest component of each network remains functional…

Physics and Society · Physics 2018-02-21 Yingrui Zhang , Alex Arenas , Osman Yağan

Modern network-like systems are usually coupled in such a way that failures in one network can affect the entire system. In infrastructures, biology, sociology, and economy, systems are interconnected and events taking place in one system…

Data Analysis, Statistics and Probability · Physics 2010-12-02 S. Havlin , N. A. M. Araujo , S. V. Buldyrev , C. S. Dias , R. Parshani , G. Paul , H. E. Stanley

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

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
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