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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 develop a methodology for analyzing the percolation phenomena of two mutually coupled (interdependent) networks based on the cavity method of statistical mechanics. In particular, we take into account the influence of degree-degree…

Disordered Systems and Neural Networks · Physics 2014-02-11 Shunsuke Watanabe , Yoshiyuki Kabashima

This study extends the Gai-Kapadia framework, originally developed for interbank contagion, to assess systemic risk and default cascades in global equity markets. We analyze a 30 asset network comprising Brazilian and developed market…

Statistical Finance · Quantitative Finance 2026-04-23 Ana Isabel Castillo Pereda

We analyse the problem of controllability for parameter-dependent linear finite-dimensional systems. The goal is to identify the most distinguished realisations of those parameters so to better describe or approximate the whole range of…

Optimization and Control · Mathematics 2016-10-07 Martin Lazar , Enrique Zuazua

Tipping points occur in diverse systems in various disciplines such as ecology, climate science, economy or engineering. Tipping points are critical thresholds in system parameters or state variables at which a tiny perturbation can lead to…

Scale-free dynamics in physical and biological systems can arise from a variety of causes. Here, we explore a branching process which leads to such dynamics. We find conditions for the appearance of power laws and study quantitatively what…

Disordered Systems and Neural Networks · Physics 2009-10-31 Christoph Adami , Johan Chu

Many real-world networks are coupled together to maintain their normal functions. Here we study the robustness of multiplex networks with interdependent and interconnected links under k-core percolation, where a node fails when it connects…

Physics and Society · Physics 2021-05-26 Kexian Zheng , Ying Liu , Yang Wang , Wei Wang

Event-triggered networked control of a linear dynamical system is investigated. Specifically, the dynamical system and the controller are assumed to be connected through a communication channel. State and control input information packets…

Systems and Control · Computer Science 2016-03-16 Ahmet Cetinkaya , Hideaki Ishii , Tomohisa Hayakawa

The complex interconnections between heterogeneous critical infrastructure sectors make the system of systems (SoS) vulnerable to natural or human-made disasters and lead to cascading failures both within and across sectors. Hence, the…

Systems and Control · Computer Science 2018-09-10 Linan Huang , Juntao Chen , Quanyan Zhu

The Bak-Tang-Wiesenfeld (BTW) sandpile process is an archetypal, stylized model of complex systems with a critical point as an attractor of their dynamics. This phenomenon, called self-organized criticality (SOC), appears to occur…

Statistical Mechanics · Physics 2014-01-21 Pierre-André Noël , Charles D. Brummitt , Raissa M. D'Souza

In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It…

Chaotic Dynamics · Physics 2015-06-19 Guofeng Zhang , Tongwen Chen

We investigate the avalanche temporal statistics of the Susceptible-Infected-Susceptible (SIS) model when the dynamics is critical and takes place on finite random networks. By considering numerical simulations on annealed topologies we…

Statistical Mechanics · Physics 2023-02-23 Daniele Notarmuzi , Alessandro Flammini , Claudio Castellano , Filippo Radicchi

Cascading failures are a common phenomenon in complex networked systems where failures at only a few nodes may trigger a process of sequential failure. We applied a flow redistribution model to investigate the robustness against cascading…

Networking and Internet Architecture · Computer Science 2022-03-03 I-Cheng Lin , Carlee Joe-Wong , Osman Yagan

Multilayer systems are coupled networks characterized by different contexts (layers) of interaction and have gained much attention recently due to their suitability to describe a broad spectrum of empirical complex systems. They are very…

Physics and Society · Physics 2020-09-21 Oriol Artime , Manlio De Domenico

We study the dependence control theory, with a focus on the tail property and dependence transformability of wireless channel capacity, respectively, from the perspective of an information theoretic model of the wireless channel and from…

Information Theory · Computer Science 2019-12-24 Fengyou Sun

Interconnected agents such as firms in a supply chain make simultaneous preparatory investments to increase chances of honouring their respective bilateral agreements. Failures cascade: if one fails their agreement, then so do all who…

Theoretical Economics · Economics 2024-08-15 Jens Gudmundsson , Jens Leth Hougaard , Jay Sethuraman

The work done in this paper, proposes a complex Laplacian-based distributed control scheme for convergence in the multi-agent network. The proposed scheme has been designated as cascade formulation. The proposed technique exploits the…

Optimization and Control · Mathematics 2019-11-21 Aniket Deshpande , Pushpak Jagtap , Prashant Bansode , Arun Mahindrakar , Navadeep Singh

More than half of the world's population now lives in urban environments, which concentrate services and infrastructure to satisfy the material needs of a growing number of inhabitants. The interdependencies between physical infrastructure…

Physics and Society · Physics 2025-02-11 Ariel Favier , Christine Hedde-von Westernhagen , Meghan Krieg , Bhaskar Kumawat

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

Many interventions, such as vaccines in clinical trials or coupons in online marketplaces, must be assigned sequentially without full knowledge of their effects. Multi-armed bandit algorithms have proven successful in such settings.…

Machine Learning · Statistics 2026-05-07 Aidan Gleich , Eric Laber , Alexander Volfovsky
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