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This work studies some aspects of the computational power of fully asynchronous cellular automata (ACA). We deal with some notions of simulation between ACA and Turing Machines. In particular, we characterize the updating sequences…

形式语言与自动机理论 · 计算机科学 2011-05-03 Jérôme Chandesris , Alberto Dennunzio , Enrico Formenti , Luca Manzoni

A stochastic cellular automata (CA) model for pedestrian dynamics is presented. Our goal is to simulate different types of pedestrian movement, from regular to panic. But here we emphasize regular situations which imply that pedestrians…

数学物理 · 物理学 2009-09-30 Ekaterina Kirik , Tat'yana Yurgel'yan , Dmitriy Krouglov

We study the asymptotic behaviour of symbolic computing systems, notably one-dimensional cellular automata (CA), in order to ascertain whether and at what rate the number of complex versus simple rules dominate the rule space for increasing…

元胞自动机与格子气 · 物理学 2018-04-06 Hector Zenil

We compare several definitions for number-conserving cellular automata that we prove to be equivalent. A necessary and sufficient condition for \cas to be number-conserving is proved. Using this condition, we give a linear-time algorithm to…

元胞自动机与格子气 · 物理学 2007-05-23 B. Durand , E. Formenti , Z. Roka

We study two families of excitable cellular automata known as the Greenberg-Hastings Model (GHM) and the Cyclic Cellular Automaton (CCA). Each family consists of local deterministic oscillating lattice dynamics, with parallel discrete-time…

patt-sol · 物理学 2009-09-25 Richard Durrett , David Griffeath

Partitioned cellular automata are known to be an useful tool to simulate linear and nonlinear problems in physics, specially because they allow for a straightforward way to define conserved quantities and reversible dynamics. Here we show…

元胞自动机与格子气 · 物理学 2020-12-17 Pedro C. S. Costa , Fernando de Melo

In this paper, a different perspective of constructing the CA models is proposed. Its kernel, the Local Symmetric Distribution Principle, relates to some fundamental concepts in physics, which maybe raise a wide interest. With a rich…

元胞自动机与格子气 · 物理学 2010-07-27 Zan Pan

We show that cellular automata can classify data by inducing a form of dynamical phase coexistence. We use Monte Carlo methods to search for general two-dimensional deterministic automata that classify images on the basis of activity, the…

神经与进化计算 · 计算机科学 2023-08-02 Stephen Whitelam , Isaac Tamblyn

Number-conserving cellular automata (NCCA) are particularly interesting, both because of their natural appearance as models of real systems, and because of the strong restrictions that number-conservation implies. Here we extend the…

元胞自动机与格子气 · 物理学 2007-05-23 Andres Moreira

The probabilistic cellular automaton (PCA) method is highlighted for its relatively simple numerical algorithm and low computational cost in the simulation of microstructural evolution. In this method, probabilistic state change rules are…

材料科学 · 物理学 2024-04-23 Majid Seyed-Salehi

A method of quantization of classical soliton cellular automata (QSCA) is put forward that provides a description of their time evolution operator by means of quantum circuits that involve quantum gates from which the associated Hamiltonian…

量子物理 · 物理学 2015-06-26 Demosthenes Ellinas , Elena P. Papadopoulou , Yiannis G. Saridakis

This paper presents a rotation-invariant embedded platform for simulating (neural) cellular automata (NCA) in modular robotic systems. Inspired by previous work on physical NCA, we introduce key innovations that overcome limitations in…

神经与进化计算 · 计算机科学 2025-10-10 Dominik Woiwode , Jakob Marten , Bodo Rosenhahn

Probabilistic cellular automata (PCA) are used to model a variety of discrete spatially extended systems undergoing parallel-updating. We propose an embedding of a number of classical nonequilibrium concepts in the PCA-world. We start from…

统计力学 · 物理学 2017-01-17 Christian Maes

The essential ingredient for studying the phenomena of emergence is the ability to generate and manipulate emergent systems that span large scales. Cellular automata are the model class particularly known for their effective scalability but…

神经与进化计算 · 计算机科学 2023-06-13 Sina Khajehabdollahi , Emmanouil Giannakakis , Victor Buendia , Georg Martius , Anna Levina

We define and study a few properties of a class of random automata networks. While regular finite one-dimensional cellular automata are defined on periodic lattices, these automata networks, called randomized cellular automata, are defined…

元胞自动机与格子气 · 物理学 2009-11-13 Nino Boccara

We investigate one-dimensional elementary probabilistic cellular automata (PCA) whose dynamics in first-order mean-field approximation yields discrete logisticlike growth models for a single-species unstructured population with…

统计力学 · 物理学 2017-05-24 J. Ricardo G. Mendonça , Yeva Gevorgyan

A Genetic Algorithm (GA) is proposed in which each member of the population can change schemata only with its neighbors according to a rule. The rule methodology and the neighborhood structure employ elements from the Cellular Automata (CA)…

神经与进化计算 · 计算机科学 2007-11-16 Vasileios Barmpoutis , Gary F. Dargush

A Cellular Automata (CA) is a computing model of complex System using simple rule. In CA the problem space into number of cell and each cell can be one or several final state. Cells are affected by neighbours' to the simple rule. Cellular…

密码学与安全 · 计算机科学 2010-06-15 Debasis Das , Abhishek Ray

To respect physics and nature, cellular automata (CA) models of self-organisation, emergence, computation and logical universality should be isotropic, having equivalent dynamics in all directions. We present a novel paradigm, the iso-rule,…

元胞自动机与格子气 · 物理学 2021-07-14 Andrew Wuensche , José Manuel Gómez Soto

Self-organization in complex systems is a process in which randomness is reduced and emergent structures appear that allow the system to function in a more competitive way with other states of the system or with other systems. It occurs…

适应与自组织系统 · 物理学 2025-06-02 Matthew J Brouillet , Georgi Yordanov Georgiev