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The cerebral cortex spontaneously displays different patterns of activity that evolve over time according to the brain state. Sleep, wakefulness, resting states, and attention are examples of a wide spectrum of physiological states that can…

Armed conflict data display scaling and universal dynamics in both social and physical properties like fatalities and geographic extent. We propose a randomly branching, armed-conflict model that relates multiple properties to one another…

Physics and Society · Physics 2020-11-04 Edward D. Lee , Bryan C. Daniels , Christopher R. Myers , David C. Krakauer , Jessica C. Flack

Creativity is a core cognitive capacity underlying innovation and adaptive problem solving, yet how it is represented in the brain's intrinsic functional architecture is not fully understood. While resting-state fMRI studies have identified…

Neurons and Cognition · Quantitative Biology 2026-01-21 Samir Damji , Simrut Kurry , Shazia'Ayn Babul , Joydeep Bhattacharya , Naznin Virji-Babul

Memristive systems, namely resistive systems with memory, are attracting considerable attention due to their ubiquity in several phenomena and technological applications. Here, we show that even the simplest one-dimensional network formed…

Disordered Systems and Neural Networks · Physics 2013-03-01 Y. V. Pershin , V. A. Slipko , M. Di Ventra

Self-organized criticality elucidates the conditions under which physical and biological systems tune themselves to the edge of a second-order phase transition, with scale invariance. Motivated by the empirical observation of bimodal…

Statistical Mechanics · Physics 2016-06-22 Serena di Santo , Raffaella Burioni , Alessandro Vezzani , Miguel A. Muñoz

Recognising changes in collective dynamics in complex systems is essential for predicting potential events and their development. Possessing intrinsic attractors with laws associated with scale invariance, self-organised critical dynamics…

Statistical Mechanics · Physics 2024-03-26 Bosiljka Tadic , Alexander Shapoval , Mikhail Shnirman

A globally driven self-organized critical model of earthquakes with conservative dynamics has been studied. An open but moving boundary condition has been used so that the origin (epicenter) of every avalanche (earthquake) is at the center…

Statistical Mechanics · Physics 2009-11-11 S. S. Manna , K. Bhattacharya

We define the Abelian distribution and study its basic properties. Abelian distributions arise in the context of neural modeling and describe the size of neural avalanches in fully-connected integrate-and-fire models of self-organized…

Probability · Mathematics 2017-04-28 Anna Levina , J. Michael Herrmann

A simple model for an interface moving in a disordered medium is presented. The model exhibits a transition between the two universality classes of interface growth phenomena. Using this model, it is shown that the application of…

Condensed Matter · Physics 2016-08-31 Hernan Makse

Scaling temporal dynamics in functional MRI (fMRI) signals have been evidenced for a decade as intrinsic characteristics of ongoing brain activity (Zarahn et al., 1997). Recently, scaling properties were shown to fluctuate across brain…

Statistics Theory · Mathematics 2013-08-21 P. Ciuciu , G. Varoquaux , P. Abry , S. Sadaghiani , A. Kleinschmidt

Avalanches whose sizes and durations are distributed as power laws appear in many contexts. Here, we show that there is a hidden peril in thresholding continuous times series --either from empirical or synthetic data-- for the detection of…

Disordered Systems and Neural Networks · Physics 2019-09-11 Pablo Villegas , Serena di Santo , Raffaella Burioni , Miguel A. Muñoz

Elastic systems, such as magnetic domain walls, density waves, contact lines, and cracks, are all pinned by substrate disorder. When driven, they move via successive jumps called avalanches, with power law distributions of size, duration…

Disordered Systems and Neural Networks · Physics 2015-06-22 Alexander Dobrinevski , Pierre Le Doussal , Kay Jörg Wiese

We explain Barkhausen noise in magnetic systems in terms of avalanches near a plain old critical point in the hysteretic zero-temperature random-field Ising model. The avalanche size distribution has a universal scaling function, making…

Condensed Matter · Physics 2009-10-28 Olga Perković , Karin Dahmen , James P. Sethna

Slowly driven elastic interfaces, such as domain walls in dirty magnets, contact lines, or cracks proceed via intermittent motion, called avalanches. We develop a field-theoretic treatment to calculate, from first principles, the space-time…

Disordered Systems and Neural Networks · Physics 2013-08-22 Pierre Le Doussal , Kay Joerg Wiese

Avalanche dynamics and related power law statistics are ubiquitous in nature, arising in phenomena like earthquakes, forest fires and solar flares. Very interestingly, an analogous behavior is associated with many condensed matter systems,…

Disordered Systems and Neural Networks · Physics 2009-02-09 Benedetta Cerruti , Eduard Vives

Bursty dynamics is a common temporal property of various complex systems in Nature but it also characterises the dynamics of human actions and interactions. At the phenomenological level it is a feature of all systems that evolve…

Physics and Society · Physics 2018-03-08 Márton Karsai , Hang-Hyun Jo , Kimmo Kaski

Stroke-induced disturbances of large-scale cortical networks are known to be associated with the extent of motor deficits. We argue that identifying brain networks representative of motor behavior in the resting brain would provide…

Neurons and Cognition · Quantitative Biology 2019-07-24 Ozan Özdenizci , Timm Meyer , Felix Wichmann , Jan Peters , Bernhard Schölkopf , Müjdat Çetin , Moritz Grosse-Wentrup

In an experiment involving semantic search, the visual movements of sample populations subjected to visual and aural input were tracked in a taskless paradigm. The probability distributions of saccades and fixations were obtained and…

Statistical Mechanics · Physics 2015-05-27 D. P. Shinde , Anita Mehta , R. K. Mishra

We consider the Bak-Tang-Wiesenfeld (BTW) and the Manna sandpile models of self-organized criticality. In the models, previous studies revealed a signature of long-range temporal correlations in the avalanche activity. We examine the power…

Statistical Mechanics · Physics 2025-07-30 Rahul Chhimpa , Avinash Chand Yadav

In this study, we have investigated the fluctuations of particle motion, i.e. the non-affine motion, during the avalanche process, discovering a rich dynamics from the microscopic to the macroscopic scales. We find that there is strong…

Soft Condensed Matter · Physics 2015-02-04 Ziwei Wang , Jie Zhang
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