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We review the properties of the self-organized critical (SOC) forest-fire model. The paradigm of self-organized criticality refers to the tendency of certain large dissipative systems to drive themselves into a critical state independent of…

Statistical Mechanics · Physics 2016-08-31 Siegfried Clar , Barbara Drossel , Franz Schwabl

This paper contains an analysis of a simple neural network that exhibits self-organized criticality. Such criticality follows from the combination of a simple neural network with an excitatory feedback loop that generates bistability, in…

Neurons and Cognition · Quantitative Biology 2015-06-11 J D Cowan , J Neuman , W van Drongelen

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

We propose a simple model that aims at describing, in a stylized manner, how local breakdowns due unbalances or congestion propagate in real dynamical networks. The model converges to a self-organized critical stationary state in which the…

Statistical Mechanics · Physics 2007-05-23 Ginestra Bianconi , Matteo Marsili

Large cascades are a common occurrence in many natural and engineered complex systems. In this paper we explore the propagation of cascades across networks using realistic network topologies, such as heterogeneous degree distributions, as…

Adaptation and Self-Organizing Systems · Physics 2019-04-03 Malgorzata Turalska , Keith Burghardt , Martin Rohden , Ananthram Swami , Raissa M. D'Souza

The dissertation extrapolates the theory of self-organization in biological organisms to sociopolitical self-organization, in human social systems. It is stated that the latter is the best way to organize human social systems, given their…

Adaptation and Self-Organizing Systems · Physics 2013-04-23 Nathalie Mezza-Garcia

Modern autonomous systems, such as flying, legged, and wheeled robots, are generally characterized by high-dimensional nonlinear dynamics, which presents challenges for model-based safety-critical control design. Motivated by the success of…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

The concept of percolation is combined with a self-consistent treatment of the interaction between the dynamics on a lattice and the external drive. Such a treatment can provide a mechanism by which the system evolves to criticality without…

Statistical Mechanics · Physics 2007-11-29 A. V. Milovanov , K. Rypdal , J. J. Rasmussen

Unexpected increases in demand and most of all flash crowds are considered the bane of every web application as they may cause intolerable delays or even service unavailability. Proper quality of service policies must guarantee rapid…

Networking and Internet Architecture · Computer Science 2009-01-29 Novella Bartolini , Giancarlo Bongiovanni , Simone Silvestri

This paper presents a novel method for controlling teams of unmanned aerial vehicles using Stochastic Optimal Control (SOC) theory. The approach consists of a centralized high-level planner that computes optimal state trajectories as…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Vicenç Gómez , Sep Thijssen , Andrew Symington , Stephen Hailes , Hilbert J. Kappen

In self-organized criticality (SOC) models, as well as in standard phase transitions, criticality is only present for vanishing external fields $h \to 0$. Considering that this is rarely the case for natural systems, such a restriction…

Adaptation and Self-Organizing Systems · Physics 2022-02-14 Gustavo Menesse , Bóris Marin , Mauricio Girardi-Schappo , Osame Kinouchi

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

Standard Random Boolean Networks display an order-disorder phase transition. We add to the standard Random Boolean Networks a disconnection rule which couples the control and order parameters. By this way, the system is driven to the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Bartolo Luque , Fernando J. Ballesteros , Enrique M. Muro

We introduce a stochastic sandpile model where finite drive and dissipation are coupled to the activity field. The absorbing phase transition here, as expected, belongs to the directed percolation (DP) universality class. We focus on the…

Statistical Mechanics · Physics 2015-06-23 U. Basu , P. K. Mohanty

Self-organization -- a characteristic of complex adaptive systems (CAS) -- has been explored in organizational research, in management theory [Mihm et al. 2003; von Foerster 1984], firm internationalization [Chandra and Wilkinson 2017],…

Multiagent Systems · Computer Science 2020-07-20 Ananya Sheth , Joseph V. Sinfield

It is a common belief that power-law distributed avalanches are inherently unpredictable. This idea affects phenomena as diverse as evolution, earthquakes, superconducting vortices, stock markets, etc; from atomic to social scales. It…

Disordered Systems and Neural Networks · Physics 2009-11-13 O. Ramos , E. Altshuler , K. J. Maloy

The Bak-Tang-Wiesenfeld (BTW) sandpile model is a cellular automaton which has been intensively studied during the last years as a paradigm for self-organized criticality. In this paper, we reconsider a deterministic version of the BTW…

Statistical Mechanics · Physics 2009-10-31 S. Lubeck , N. Rajewsky , D. E. Wolf

The study of network structure has uncovered signatures of the organization of complex systems. However, there is also a need to understand how to control them; for example, identifying strategies to revert a diseased cell to a healthy…

Molecular Networks · Quantitative Biology 2016-04-19 Alexander J. Gates , Luis M. Rocha

The critical brain hypothesis states that there are information processing advantages for neuronal networks working close to the critical region of a phase transition. If this is true, we must ask how the networks achieve and maintain this…

Disordered Systems and Neural Networks · Physics 2020-10-22 Osame Kinouchi , Renata Pazzini , Mauro Copelli

We present a unified dynamical mean-field theory for stochastic self-organized critical models. We use a single site approximation and we include the details of different models by using effective parameters and constraints. We identify the…

Statistical Mechanics · Physics 2009-10-28 Alessandro Vespignani , Stefano Zapperi