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Self-organized criticality (SOC) reveals a mechanism by which a system is autonomously evolved to be in a critical state without needing parameter tuning. Whereas various biological systems are found to be in critical states and the…

元胞自动机与格子气 · 物理学 2013-06-20 Yukio-Pegio Gunji

The Game of Life cellular automaton is a classical example of a massively parallel collision-based computing device. The automaton exhibits mobile patterns, gliders, and generators of the mobile patterns, glider guns, in its evolution. We…

计算复杂性 · 计算机科学 2007-05-23 J. -P. Rennard

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…

神经元与认知 · 定量生物学 2015-05-28 Christian Meisel , Alexander Storch , Susanne Hallmeyer-Elgner , Ed Bullmore , Thilo Gross

In previous works, hexagonal cellular automata (CA) have been studied as a variation of the famous Game of Life CA, mainly for spiral phenomena simulations; where the most interesting constructions are related to the Belousov-Zhabotinsky…

元胞自动机与格子气 · 物理学 2014-11-05 Rogelio Basurto , Paulina A. León , Genaro J. Martínez , Juan C. Seck-Tuoh-Mora

By using chaos synchronization between non-identical multiple time delay semiconductor lasers with optoelectronic feedbacks, we demonstrate numerically how fast dynamic logic gates can be constructed. The results may be helpful to obtain a…

混沌动力学 · 物理学 2015-05-13 E. M. Shahverdiev

Self-organized criticality (SOC) refers to the ability of complex systems to evolve towards a 2nd-order phase transition at which interactions between system components lead to scale-invariant events beneficial for system performance. For…

神经元与认知 · 定量生物学 2021-05-18 Dietmar Plenz , Tiago L. Ribeiro , Stephanie R. Miller , Patrick A. Kells , Ali Vakili , Elliott L. Capek

With the advancement of synthetic biology, several new tools have been conceptualized over the years as alternative treatments for current medical procedures. Most of those applications are applied to various chronic diseases. This work…

Chaotic logic gates or `chaogates' are a promising mixed-signal approach to designing universal computers. However, chaotic systems are exponentially sensitive to small perturbations, and the effects of noise can cause chaotic computers to…

混沌动力学 · 物理学 2022-02-16 Noeloikeau Charlot , Daniel J. Gauthier

Following extensive numerical experiments, it has been suggested that the evolution of competing computer programs in artificial life simulations shows signs of being a self-organized critical process. The primary evidence for this claim…

adap-org · 物理学 2009-10-30 M. E. J. Newman , Simon M. Fraser , Kim Sneppen , William A. Tozier

The emergence of complex structures in the systems governed by a simple set of rules is among the most fascinating aspects of Nature. The particularly powerful and versatile model suitable for investigating this phenomenon is provided by…

适应与自组织系统 · 物理学 2023-10-11 Jarosław Adam Miszczak

Concurrent stochastic games are an important formalism for the rational verification of probabilistic multi-agent systems, which involves verifying whether a temporal logic property is satisfied in some or all game-theoretic equilibria of…

计算机科学与博弈论 · 计算机科学 2023-11-29 Daniel Stan , Muhammad Najib , Anthony Widjaja Lin , Parosh Aziz Abdulla

Conway's cellular automaton Game of LIFE has been conjectured to be a critical (or quasicritical) dynamical system. This criticality is generally seen as a continuous order-disorder transition in cellular automata (CA) rule space. LIFE's…

统计力学 · 物理学 2014-07-04 Sandro Martinelli Reia , Osame Kinouchi

Self-organized criticality has been proposed to be a universal mechanism for the emergence of scale-free dynamics in many complex systems, and possibly in the brain. While such scale-free patterns were identified experimentally in many…

神经元与认知 · 定量生物学 2021-05-11 Roxana Zeraati , Viola Priesemann , Anna Levina

There is evidence that biological systems, such as the brain, work at a critical regime robust to noise, and are therefore able to remain in it under perturbations. In this work, we address the question of robustness of critical systems to…

元胞自动机与格子气 · 物理学 2022-09-14 Sidney Pontes-Filho , Pedro Lind , Stefano Nichele

In this article, we present a dynamical scheme to obtain a reconfigurable noise-aided logic gate, that yields all six fundamental 2-input logic operations, including the XOR operation. The setup consists of two coupled bistable subsystems…

适应与自组织系统 · 物理学 2022-01-20 Manaoj Aravind , P. Parmananda , Sudeshna Sinha

Probabilistic cellular automata provide a simple framework for the exploration of classical nonequilibrium processes. Recently, quantum cellular automata have been proposed that rely on the propagation of a one-dimensional quantum state…

量子物理 · 物理学 2022-10-05 Edward Gillman , Federico Carollo , Igor Lesanovsky

Phase transitions and critical behavior are crucial issues both in theoretical and experimental neuroscience. We report analytic and computational results about phase transitions and self-organized criticality (SOC) in networks with general…

适应与自组织系统 · 物理学 2016-10-07 L. Brochini , A. A. Costa , M. Abadi , A. C. Roque , J. Stolfi , O. Kinouchi

Scale invariance is a hallmark of criticality in complex dynamical systems. While random external inputs or tunable stochastic interactions are typically required to produce critical behavior, it remains unclear whether scale-invariant…

Self-organized criticality is a well-established phenomenon, where a system dynamically tunes its structure to operate on the verge of a phase transition. Here, we show that the dynamics inside the self-organized critical state are…

适应与自组织系统 · 物理学 2025-08-19 Silja Sormunen , Thilo Gross , Jari Saramäki

Logic gates can be written in terms of complex differential operators, where the inputs and outputs are holomorphic functions with several variables. Using the polar representation of complex numbers, we arrive at an immediate connection…

量子物理 · 物理学 2024-12-05 M. W. AlMasri
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