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Percolation processes on random networks have been the subject of intense research activity over the last decades: the overall phenomenology of standard percolation on uncorrelated and unclustered topologies is well known. Still some…

Statistical Mechanics · Physics 2024-12-06 Lorenzo Cirigliano , Gábor Timár , Claudio Castellano

Since the first reported traffic jam about a century ago, traffic congestion has been intensively studied with various methods ranging from macroscopic to microscopic viewpoint. However, due to the population growth and fast civilization,…

Physics and Society · Physics 2017-05-24 Yinan Jiang , Rui Kang , Daqing Li , Shengmin Guo , Shlomo Havlin

The spread of traffic jams in urban networks has long been viewed as a complex spatio-temporal phenomenon that often requires computationally intensive microscopic models for analysis purposes. In this study, we present a framework to…

The dynamical properties of road traffic time series from North-Rhine Westphalian motorways are investigated. The article shows that road traffic dynamics is well described as a persistent stochastic process with two fixed points…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Helge Siegel , Dennis Belomestnyi

Understanding mobile traffic patterns of large scale cellular towers in urban environment is extremely valuable for Internet service providers, mobile users, and government managers of modern metropolis. This paper aims at extracting and…

Networking and Internet Architecture · Computer Science 2015-10-15 Huandong Wang , Fengli Xu , Yong Li , Pengyu Zhang , Depeng Jin

Traffic congestion is a major problem in megacities which increases vehicle emissions and degrades ambient air quality. Various models have been developed to address the universal features of traffic jams. These models range from micro…

Physics and Society · Physics 2023-11-08 Sasan Ebrahimabadi , Ali Hosseiny , Jingfang Fan , Abbas Ali Saberi

Most complex networks serve as conduits for various dynamical processes, ranging from mass transfer by chemical reactions in the cell to packet transfer on the Internet. We collected data on the time dependent activity of five natural and…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Argollo de Menezes , A-L. Barabasi

Much work has been devoted to studying percolation of networks and interdependent networks under varying levels of failures. Researchers have considered many different realistic network structures, but thus far no study has incorporated the…

Physics and Society · Physics 2018-11-21 Louis M. Shekhtman , Shlomo Havlin

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel

This paper presents a unified framework for analyzing the input-output behavior of discrete time complex networks viewed as open systems. Importantly, we focus on systems that are inherently modeled in discrete time-such as opinion…

Physics and Society · Physics 2025-11-25 Amirhossein Nazerian , MAlbor Asllani , Melvyn Tyloo , Francesco Sorrentino

We present an exact solution of percolation in a generalized class of Watts-Strogatz graphs defined on a 1-dimensional underlying lattice. We find a non-classical critical point in the limit of the number of long-range bonds in the system…

Disordered Systems and Neural Networks · Physics 2009-11-17 Reuven Cohen , Daryush Jonathan Dawid , Mehran Kardar , Yaneer Bar-Yam

Transition out of a topological phase is typically characterized by discontinuous changes in topological invariants along with bulk gap closings. However, as a clean system is geometrically punctured, it is natural to ask the fate of an…

Disordered Systems and Neural Networks · Physics 2023-12-15 Saikat Mondal , Subrata Pachhal , Adhip Agarwala

Percolation theory characterizing the robustness of a network has applications ranging from biology, to epidemic spreading, and complex infrastructures. Percolation theory, however, only concern the typical response of a infinite network to…

Disordered Systems and Neural Networks · Physics 2018-02-28 Ginestra Bianconi

Density fluctuations in traffic current are studied by computer simulations using the deterministic coupled map lattice model on a closed single-lane circuit. By calculating a power spectral density of temporal density fluctuations at a…

chao-dyn · Physics 2009-10-28 S. Yukawa , M. Kikuchi

The propagation of traffic congestion along roads is a commonplace nonlinear phenomenon. When many roads are connected in a network, congestion can spill from one road to others as drivers queue to enter a congested road, creating further…

Systems and Control · Computer Science 2019-06-18 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

Time-varying connections are crucial in understanding the structures and dynamics of complex networks. In this paper, we propose a continuous-time switching topology model for temporal networks that is driven by bursty behavior and study…

Physics and Society · Physics 2025-05-21 Ziyan Zeng , Minyu Feng , Matjaž Perc , Jürgen Kurths

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

Physics and Society · Physics 2010-10-21 Scott A. Hill , Dan Braha

We experimentally investigate the critical behavior of a phase transition between two topologically different turbulent states of electrohydrodynamic convection in nematic liquid crystals. The statistical properties of the observed…

Statistical Mechanics · Physics 2008-01-14 Kazumasa A. Takeuchi , Masafumi Kuroda , Hugues Chaté , Masaki Sano

Multilayer infrastructure is often interdependent, with nodes in one layer depending on nearby nodes in another layer to function. The links in each layer are often of limited length, due to the construction cost of longer links. Here, we…

Physics and Society · Physics 2016-09-13 Michael M. Danziger , Louis M. Shekhtman , Yehiel Berezin , Shlomo Havlin

Understanding how cities transition from free-flowing to congested traffic remains a central open problem in urban science. Here we show that city-scale congestion undergoes a reproducible nonlinear transition analogous to an order-disorder…

Physics and Society · Physics 2026-05-06 Luis E. Olmos