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High levels of penetration of distributed generation and aggressive reactive power compensation with modern power electronics may result in the reversal of active and reactive power flows in future distribution grids. The voltage stability…

Chaotic Dynamics · Physics 2014-07-09 Hung D. Nguyen , Konstantin Turitsyn

We explore a simple mathematical model of network computation, based on Markov chains. Similar models apply to a broad range of computational phenomena, arising in networks of computers, as well as in genetic, and neural nets, in social…

Information Retrieval · Computer Science 2009-04-18 Dusko Pavlovic

Robustness of biochemical systems has become one of the central questions in systems biology although it is notoriously difficult to formally capture its multifaceted nature. Maintenance of normal system function depends not only on the…

Molecular Networks · Quantitative Biology 2012-03-28 Jost Neigenfind , Sergio Grimbs , Zoran Nikoloski

Resilience is a system's ability to maintain its function when perturbations and errors occur. Whilst we understand low-dimensional networked systems' behavior well, our understanding of systems consisting of a large number of components is…

Systems and Control · Electrical Eng. & Systems 2021-09-08 Giannis Moutsinas , Mengbang Zou , Weisi Guo

The dynamics of flow within a material transport network is dependent upon the dynamics of its power source. Responding to a change of these dynamics is critical for the fitness of living flow networks, e.g. the animal vasculature, which…

Fluid Dynamics · Physics 2021-09-29 Sean Fancher , Eleni Katifori

Network theory is rapidly changing our understanding of complex systems, but the relevance of topological features for the dynamic behavior of metabolic networks, food webs, production systems, information networks, or cascade failures of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dirk Helbing , Ulrich Witt , Stefan Laemmer , Thomas Brenner

Fundamental to many transportation network studies, traffic flow models can be used to describe traffic dynamics determined by drivers' car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a…

Dynamical Systems · Mathematics 2013-07-31 Wen-Long Jin

We study a class of dynamical multi-commodity flow networks in transportation networks. These are modeled as dynamical systems describing the evolution of the densities of a number of different commodities across the cells of a…

Dynamical Systems · Mathematics 2025-08-26 Davide Sipione , Giacomo Como

Infrastructure networks are increasingly vulnerable to natural hazards and design flaws, making resilience assessment essential. This paper presents a scenario-based framework to evaluate network vulnerability by combining local measures…

Applications · Statistics 2025-04-01 S. Saei , N. Tajik

We derive a modular fluid-flow network congestion control model based on a law of fundamental nature in networks: the conservation of information. Network elements such as queues, users, and transmission channels and network performance…

Networking and Internet Architecture · Computer Science 2016-11-18 C. Briat , E. A. Yavuz , H. Hjalmarsson , K. H. Johansson , U. T. Jönsson , G. Karlsson , H. Sandberg

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

Fluid Dynamics · Physics 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing

The literature on provable robustness in machine learning has primarily focused on static prediction problems, such as image classification, in which input samples are assumed to be independent and model performance is measured as an…

Machine Learning · Computer Science 2023-03-30 Aounon Kumar , Vinu Sankar Sadasivan , Soheil Feizi

We propose a simple model to analyze the traffic of droplets in microfluidic ``dual networks''. Such functional networks which consist of two types of channels, namely those accessible or forbidden to droplets, often display a complex…

Fluid Dynamics · Physics 2008-01-30 M. Schindler , A. Ajdari

Route planning is essential to mobile robot navigation problems. In recent years, deep reinforcement learning (DRL) has been applied to learning optimal planning policies in stochastic environments without prior knowledge. However, existing…

Robotics · Computer Science 2023-04-21 Xi Lin , Paul Szenher , John D. Martin , Brendan Englot

This paper investigates the control of flow networks, where the control objective is to regulate the measured output (e.g storage levels) towards a desired value. We present a distributed controller that dynamically adjusts the inputs and…

Systems and Control · Computer Science 2017-08-03 Sebastian Trip , Tjardo Scholten , Claudio De Persis

Recent literature has proved that stable dynamic routing algorithms have solid theoretical foundation that makes them suitable to be implemented in a real protocol, and used in practice in many different operational network contexts. Such…

Networking and Internet Architecture · Computer Science 2008-12-18 Luca Muscariello , Diego Perino

We model the robustness against random failure or intentional attack of networks with arbitrary large-scale structure. We construct a block-based model which incorporates --- in a general fashion --- both connectivity and interdependence…

Physics and Society · Physics 2012-09-25 Tiago P. Peixoto , Stefan Bornholdt

Empirical estimation of critical points at which complex systems abruptly flip from one state to another is among the remaining challenges in network science. However, due to the stochastic nature of critical transitions it is widely…

Social and Information Networks · Computer Science 2014-07-09 B. Podobnik , T. Lipic , D. Horvatic , A. Majdandzic , S. Bishop , H. E. Stanley

This essay provides a comprehensive analysis of the optimization and performance evaluation of various routing algorithms within the context of computer networks. Routing algorithms are critical for determining the most efficient path for…

Networking and Internet Architecture · Computer Science 2024-02-27 Xunchi Ma

Numerous networks, such as transportation, distribution and delivery networks optimize their designs in order to increase efficiency and lower costs, improving the stability of its intended functions, etc. Networks that distribute goods,…

Physics and Society · Physics 2020-03-26 Fabricio L. Forgerini , Orahcio F. de Sousa