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Eukaryotic transcription generally occurs in bursts of activity lasting minutes to hours; however, state-of-the-art measurements have revealed that many of the molecular processes that underlie bursting, such as transcription factor binding…

Subcellular Processes · Quantitative Biology 2020-12-21 Nicholas C. Lammers , Yang Joon Kim , Jiaxi Zhao , Hernan G. Garcia

We here describe the possibility of a synthetic description of the onset of Chaos in many degrees of freedom dynamical systems within the framework of the geometric description of dynamics. We show how this approach to instability helps to…

chao-dyn · Physics 2008-02-03 Cipriani Piero , Di Bari Maria

Modeling and parameter estimation for neuronal dynamics are often challenging because many parameters can range over orders of magnitude and are difficult to measure experimentally. Moreover, selecting a suitable model complexity requires a…

Dynamical Systems · Mathematics 2018-01-31 J. E. Rubin , B. Krauskopf , H. M. Osinga

Active matter systems display a fascinating range of dynamical states, including stationary patterns and turbulent phases. While the former can be tackled with methods from the field of pattern formation, the spatio-temporal disorder of the…

Fluid Dynamics · Physics 2018-08-13 Martin James , Wouter J. T. Bos , Michael Wilczek

Dense pedestrian crowds may pose significant safety risks, yet their underlying dynamics remain insufficiently understood to reliably prevent accidents. In these environments, physical interactions and contact forces fundamentally shape the…

Physics and Society · Physics 2025-05-12 Thomas Chatagnon , Antoine Tordeux , Mohcine Chraibi

We introduce and analyze several variants of a system of differential equations which model the dynamics of social outbursts, such as riots. The systems involve the coupling of an explicit variable representing the intensity of rioting…

Analysis of PDEs · Mathematics 2015-07-08 Henri Berestycki , Jean-Pierre Nadal , Nancy Rodriguez

Various natural and engineered systems, from urban traffic flow to the human brain, can be described by large-scale networked dynamical systems. These systems are similar in being comprised of a large number of microscopic subsystems, each…

Dynamical Systems · Mathematics 2026-01-06 Sabbir Ahmed , Hafiz Fareed Ahmed , Erfan Nozari

Neuronal networks can generate burst events. It remains unclear how to analyse interburst periods and their statistics. We study here the phase-space of a mean-field model, based on synaptic short-term changes, that exhibit burst and…

Statistical Mechanics · Physics 2020-12-17 Lou Zonca , David Holcman

Intermittent control has a long history in the physiological literature and there is strong experimental evidence that some human control systems are intermittent. Intermittent control has also appeared in various forms in the engineering…

Quantitative Methods · Quantitative Biology 2014-07-23 Peter Gawthrop , Henrik Gollee , Ian Loram

Albert-Laszlo Barabasi introduced a model which exhibits the bursty nature of the arrival times of events in systems determined by decisions of some humans. In Barabasi's model tasks are selected to execution according to some rules which…

Probability · Mathematics 2012-10-25 Julia Komjathy , Karoly Simon , Lajos Vago

Statistical physics has proven to be a very fruitful framework to describe phenomena outside the realm of traditional physics. The last years have witnessed the attempt by physicists to study collective phenomena emerging from the…

Physics and Society · Physics 2009-05-11 Claudio Castellano , Santo Fortunato , Vittorio Loreto

Numerous systems ranging from deformation of materials to earthquakes exhibit bursty dynamics, which consist of a sequence of events with a broad event size distribution. Very often these events are observed to be temporally correlated or…

Statistical Mechanics · Physics 2016-12-05 Sanja Janićević , Lasse Laurson , Knut Jørgen Måløy , Stéphane Santucci , Mikko J. Alava

How to promote the innovative activities is an important problem for modern society. In this paper, combining with the evolutionary games and information spreading, we propose a lattice model to investigate dynamics of human innovative…

Physics and Society · Physics 2013-03-05 Ying-Ting Lin , Xiao-Pu Han , Bing-Hong Wang

We investigate the burst dynamics during drainage going from low to high injection rate at various fluid viscosities. The bursts are identified as pressure drops in the pressure signal across the system. We find that the statistical…

Soft Condensed Matter · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen , Soumen Basak

A probabilistic model describes a system in its observational state. In many situations, however, we are interested in the system's response under interventions. The class of structural causal models provides a language that allows us to…

Methodology · Statistics 2020-01-20 Jonas Peters , Stefan Bauer , Niklas Pfister

Extreme events such as earthquakes, floods, and power blackouts often display burst phenomena where multiple extreme events occur in quick succession or in bunches. This study examines bunching of extreme events on a complex network using a…

Physics and Society · Physics 2025-09-24 Sarvesh K. Upadhyay , Vimal Kishore , Sanjay Kumar , R. E. Amritkar

The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and…

Statistical Mechanics · Physics 2011-09-08 Lamberto Rondoni , Carlos Mejia-Monasterio

A discrete-time random process is described which can generate bursty sequences of events. A Bernoulli process, where the probability of an event occurring at time $t$ is given by a fixed probability $x$, is modified to include a memory…

Physics and Society · Physics 2015-07-29 Ewan R. Colman , Danica Vukadinović Greetham

This work concerns a many-body deterministic model that displays life-like properties as emergence, complexity, self-organization, spontaneous compartmentalization, and self-regulation. The model portraits the dynamics of an ensemble of…

Adaptation and Self-Organizing Systems · Physics 2023-07-11 Alessandro Scirè , Valerio Annovazzi-Lodi

Processes involving bursts of activity separated by quiescent periods occur across diverse systems and scales. In human dynamics, these phenomena have been described by power-law inter-event time distributions, $P(t)\sim t^{-\alpha}$, with…

Other Condensed Matter · Physics 2026-04-17 Morten Møller , Philipp Rahe , Sadegh Ghaderzadeh , Elena Besley , Philip Moriarty