The attractor-basin portrait of a cellular automaton
type: Item
instance of: scholarly article
title: The attractor-basin portrait of a cellular automaton
zbMATH Open document ID: 0892.58051
DOI: 10.1007/BF01054429
author: James E. Hanson
author: James P. Crutchfield
published in: Journal of Statistical Physics
publication date: 1994-09-01T00:00:00Z
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 37B99
Mathematics Subject Classification ID: 82C32
Mathematics Subject Classification ID: 68Q80
zbMATH DE Number: 111997
zbMATH Keywords: spatially extended dynamical system
zbMATH Keywords: cellular automata
zbMATH Keywords: attractor
zbMATH Keywords: basin
zbMATH Keywords: separatrix
zbMATH Keywords: diffusion
zbMATH Keywords: dislocation in spacetime
zbMATH Keywords: domain
zbMATH Keywords: invariant set
zbMATH Keywords: finite automata
zbMATH Keywords: transducer
MaRDI profile type: Publication
cites work: Q3750126
cites work: Simple Computation-Universal Cellular Spaces
cites work: Computation and construction universality of reversible cellular automata
cites work: Computation theory of cellular automata
cites work: Q3802661
cites work: Q4435548
cites work: Algebraic properties of cellular automata
cites work: Intriguing properties of global structure in some classes of finite cellular automata
cites work: Cylindrical cellular automata
cites work: Statistical mechanics of cellular automata
cites work: Local structure theory for cellular automata
cites work: Transition phenomena in cellular automata rule space
cites work: Soliton-like behavior in automata
cites work: Q3793735
cites work: Q4104623
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q3675525
cites work: Additive and cancellative interacting particle systems
cites work: Q3862379
cites work: Q4731122
cites work: Q3675524
cites work: Q3361900
cites work: Q3675526
cites work: Aperiodicity in one-dimensional cellular automata
cites work: Exact solvability and quasiperiodicity of one-dimensional cellular automata
cites work: The kink of cellular automaton Rule 18 performs a random walk
cites work: Q3820012
full work available at URL: https://doi.org/10.1007/bf01054429
OpenAlex ID: W1974584038
description: scientific article; zbMATH DE number 111997