Oscillations spatio-temporelles engendrées par un automate cellulaire
type: Item
instance of: scholarly article
title: Oscillations spatio-temporelles engendrées par un automate cellulaire
zbMATH Open document ID: 0564.68039
DOI: 10.1016/0166-218X(84)90122-7
author: Jean-Paul Allouche
author: Christine Reder
published in: Discrete Applied Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The authors study planar cellular automata as reaction-diffusion models in excitable media. They describe the structure of spatio-temporal oscillations originated from various initial conditions. Under some assumptions, the sequence of states on the plane is ultimately either stationary or periodic. In the latter case it is shown that there exists only one admissible period (independent of the initial conditions), and the corresponding plane structure consists of parallel equidistant target wave-fronts expanding with constant speed. Numerous illustrations are given.
reviewed by: Indulis Strazdins
Mathematics Subject Classification ID: 68Q80
Mathematics Subject Classification ID: 05C38
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 3900162
zbMATH Keywords: periodic behaviour
zbMATH Keywords: planar cellular automata
zbMATH Keywords: reaction-diffusion models in excitable media
zbMATH Keywords: spatio-temporal oscillations
MaRDI profile type: Publication
cites work: Q3944012
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description: scientific article; zbMATH DE number 3900162