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The spontaneous emergence of scale invariance, called self-organized criticality (SOC), is often attributed to a second-order absorbing-state phase transition (ASPT). Many real-world systems display SOC, yet extreme events are often…

Adaptation and Self-Organizing Systems · Physics 2023-08-08 Guram Mikaberidze , Arthur Plaud , Raissa M. D'Souza

Critical dynamics are assumed to be an attractive mode for normal brain functioning as information processing and computational capabilities are found to be optimized there. Recent experimental observations of neuronal activity patterns…

Neurons and Cognition · Quantitative Biology 2015-05-28 Christian Meisel , Alexander Storch , Susanne Hallmeyer-Elgner , Ed Bullmore , Thilo Gross

This work considers to achieve near-optimal operation for a class of batch processes by employing self-optimizing control (SOC). Comparing with a continuous one, a batch process exhibits stronger nonlinearity with dynamics because of the…

Optimization and Control · Mathematics 2026-05-08 Chenchen Zhou , Hongxin Su , Xinhui Tang , Yi Cao , Shuang-hua Yang

Recent experiments with strongly interacting, driven Rydberg ensembles have introduced a promising setup for the study of self-organized criticality (SOC) in cold atom systems. Based on this setup, we theoretically propose a control…

Quantum Gases · Physics 2019-05-27 Kai Klocke , Michael Buchhold

Readiness potential is a widely observed brain activity in several species including crayfish before the spontaneous behavioral initiation. However, it is poorly understood how this spontaneous activity is generated. The hypothesis that…

Neurons and Cognition · Quantitative Biology 2024-08-05 Katsushi Kagaya , Tomoyuki Kubota , Kohei Nakajima

We consider two, apparently similar, models of biological evolution which have been claimed to exhibit self-organized critical behaviour. A careful reanalysis of these models, including several new analytic results for one of them, suggests…

Condensed Matter · Physics 2009-10-22 Jan de Boer , A. D. Jackson , Tilo Wettig

The main result of this letter is that SOC naturally arises as a result of memory effects. We show that memory effects provide the mechanism for self organization. A general procedure to investigate this issue in models that display self…

Condensed Matter · Physics 2007-05-23 Matteo Marsili , Guido Caldarelli

Based on the LISSOM model and the OFC earthquake model, we introduce a self-organized feature map Neural Network model . It displays a "Self Organized Criticality"(SOC) behavior. It can be seen that the feature area (synchronized area)…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Xiao Wei Zhao , Tian Lun Chen

Most current methods for identifying coherent structures in spatially-extended systems rely on prior information about the form which those structures take. Here we present two new approaches to automatically filter the changing…

Cellular Automata and Lattice Gases · Physics 2011-11-09 Cosma Rohilla Shalizi , Robert Haslinger , Jean-Baptiste Rouquier , Kristina Lisa Klinkner , Cristopher Moore

A small-world cellular automaton network has been formulated to simulate the long-range interactions of complex networks using unconventional computing methods in this paper. Conventional cellular automata use local updating rules. The new…

Cellular Automata and Lattice Gases · Physics 2010-03-26 Xin-She Yang , Young Z. L. Yang

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

Experimental observations consistent with Self Organized Criticality (SOC) have been obtained in the electrostatic floating potential fluctuations of a dc glow discharge plasma. Power spectrum exhibits a power law which is compatible with…

Plasma Physics · Physics 2010-03-17 Md. Nurujjaman , A. N. Sekar Iyengar

This paper presents a new framework for asynchrony. This has its origins in our attempts to better harness the internal decision making process of cellular automata (CA). Thus, we show that a max-plus algebraic model of asynchrony arises…

Dynamical Systems · Mathematics 2015-02-16 Ebrahim L. Patel , David Broomhead

The basic laws of physics are simple, so why is the world complex? The theory of self-organized criticality posits that complex behavior in nature emerges from the dynamics of extended, dissipative systems that evolve through a sequence of…

Statistical Mechanics · Physics 2007-05-23 Maya Paczuski , Per Bak

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

A dynamical system approaching the first-order transition can exhibit a specific type of critical behavior known as self-organized bistability (SOB). It lies in the fact that the system can permanently switch between the coexisting states…

Adaptation and Self-Organizing Systems · Physics 2022-11-14 Nikita Frolov , Alexander Hramov

Avalanches, or Avalanche-like, events are often observed in the dynamical behaviour of many complex systems which span from solar flaring to the Earth's crust dynamics and from traffic flows to financial markets. Self-organized criticality…

Data Analysis, Statistics and Probability · Physics 2009-11-13 M. Bartolozzi

Cellular automata (CA) consist of an array of identical cells, each of which may take one of a finite number of possible states. The entire array evolves in discrete time steps by iterating a global evolution G. Further, this global…

Discrete Mathematics · Computer Science 2015-03-18 Pablo Arrighi , Renan Fargetton , Vincent Nesme , Eric Thierry

In this paper we study the family of freezing cellular automata (FCA) in the context of asynchronous updating schemes. A cellular automaton is called freezing if there exists an order of its states, and the transitions are only allowed to…

Computational Complexity · Computer Science 2019-10-25 Eric Goles , Diego Maldonado , Pedro Montealegre , Martín Ríos-Wilson

An imperative condition for the functioning of a power-grid network is that its power generators remain synchronized. Disturbances can prompt desynchronization, which is a process that has been involved in large power outages. Here we…

Physics and Society · Physics 2018-12-24 Adilson E. Motter , Seth A. Myers , Marian Anghel , Takashi Nishikawa
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