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At the point of a second order phase transition also termed as a critical point, systems display long range order and their macroscopic behaviors are independent of the microscopic details making up the system. Due to these properties, it…

Neurons and Cognition · Quantitative Biology 2017-07-18 Vaibhav Wasnik

A simple model economy with locally interacting producers and consumers is introduced. When driven by extremal dynamics, the model self-organizes {\em not} to an attractor state, but to an asymptote, on which the economy has a constant rate…

Statistical Mechanics · Physics 2011-04-12 Simon F. Norrelykke , Per Bak

In recent years self organised critical neuronal models have provided insights regarding the origin of the experimentally observed avalanching behaviour of neuronal systems. It has been shown that dynamical synapses, as a form of short-term…

Adaptation and Self-Organizing Systems · Physics 2018-03-28 L. Michiels van Kessenich , M. Luković , L. de Arcangelis , H. J. Herrmann

A major unresolved question in Neuroscience is: What is the origin of the observed scale-invariant correlations in neural activity? Many researchers support the ``criticality hypothesis,'' which proposes that the brain operates near…

Biological Physics · Physics 2026-05-11 Chesson Sipling , Yuan-Hang Zhang , Massimiliano Di Ventra

Controlling the flow and routing of data is a fundamental problem in many distributed networks, including transportation systems, integrated circuits, and the Internet. In the brain, synaptic plasticity rules have been discovered that…

Neural and Evolutionary Computing · Computer Science 2017-04-18 Jonathan Y. Suen , Saket Navlakha

The brain is immensely complex, with diverse components and dynamic interactions building upon one another to orchestrate a wide range of functions and behaviors. Understanding patterns of these complex interactions and how they are…

Neurons and Cognition · Quantitative Biology 2024-08-06 Suman Kulkarni , Dani S. Bassett

Despite broad interest in self-organizing systems, there are few quantitative, experimentally-applicable criteria for self-organization. The existing criteria all give counter-intuitive results for important cases. In this Letter, we…

Adaptation and Self-Organizing Systems · Physics 2011-11-10 Cosma Rohilla Shalizi , Kristina Lisa Shalizi , Robert Haslinger

A large repertoire of spatiotemporal activity patterns in the brain is the basis for adaptive behaviour. Understanding the mechanism by which the brain's hundred billion neurons and hundred trillion synapses manage to produce such a range…

Neurons and Cognition · Quantitative Biology 2010-10-14 Dante R. Chialvo

The observation of apparent power-laws in neuronal systems has led to the suggestion that the brain is at, or close to, a critical state and may be a self-organised critical system. Within the framework of self-organised criticality a…

Neurons and Cognition · Quantitative Biology 2014-10-22 Caroline Hartley , Timothy J Taylor , Istvan Z Kiss , Simon F Farmer , Luc Berthouze

We suggest that ensembles of self-replicating entities such as biological systems naturally evolve into a self-organized critical state in which fluctuations, as well as waiting-times between phase transitions are distributed according to a…

adap-org · Physics 2009-10-22 C. Adami

The notion of Self-organized criticality (SOC) had been conceived to interpret the spontaneous emergence of long range correlations in nature. Since then many different models had been introduced to study SOC. All of them have few common…

Statistical Mechanics · Physics 2023-05-03 S. S. Manna

Self-organized bistability (SOB) stands as a critical behavior for the systems delicately adjusting themselves to the brink of bistability, characterized by a first-order transition. Its essence lies in the inherent ability of the system to…

Adaptation and Self-Organizing Systems · Physics 2024-01-08 Md Sayeed Anwar , Nikita Frolov , Alexander E. Hramov , Dibakar Ghosh

Recent observation for scale invariant neural avalanches in the brain have been discussed in details in the scientific literature. We point out, that these results do not necessarily imply that the properties of the underlying neural…

Disordered Systems and Neural Networks · Physics 2015-06-11 Claudius Gros , Dimitrije Markovic

Biological neural networks are characterized by their high degree of plasticity, a core property that enables the remarkable adaptability of natural organisms. Importantly, this ability affects both the synaptic strength and the topology of…

Neural and Evolutionary Computing · Computer Science 2024-06-17 Erwan Plantec , Joachin W. Pedersen , Milton L. Montero , Eleni Nisioti , Sebastian Risi

Scale-free outbursts of activity are commonly observed in physical, geological, and biological systems. The idea of self-organized criticality (SOC), introduced back in 1987 by Bak, Tang and Wiesenfeld suggests that, under certain…

Statistical Mechanics · Physics 2021-06-28 Victor Buendía , Serena di Santo , Juan A. Bonachela , Miguel A. Muñoz

Power laws and distributions with heavy tails are common features of many experimentally studied complex systems, like the distribution of the sizes of earthquakes and solar flares, or the duration of neuronal avalanches in the brain.…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Dimitrije Markovic , Claudius Gros

To learn useful dynamics on long time scales, neurons must use plasticity rules that account for long-term, circuit-wide effects of synaptic changes. In other words, neural circuits must solve a credit assignment problem to appropriately…

Neurons and Cognition · Quantitative Biology 2019-05-30 Owen Marschall , Kyunghyun Cho , Cristina Savin

The rapid advances in artificial intelligence (AI) have largely been driven by scaling deep neural networks (DNNs) - increasing model size, data, and computational resources. Yet performance is ultimately governed by network dynamics. The…

Neurons and Cognition · Quantitative Biology 2026-02-23 Simon Vock , Christian Meisel

Criticality has been proposed as a key principle underlying complex behavior in biological and artificial systems; however, how criticality translates from individual dynamics to collective behavior remains unclear. We study this question…

Adaptation and Self-Organizing Systems · Physics 2026-05-05 Nicolas Bessone , Erwan Plantec

Synaptic plasticity dynamically shapes the connectivity of neural systems and is key to learning processes in the brain. To what extent the mechanisms of plasticity can be exploited to drive a neural network and make it perform some kind of…

Neurons and Cognition · Quantitative Biology 2024-12-03 Francesco Borra , Simona Cocco , Rémi Monasson