Topological chaos of universal elementary cellular automata rule
type: Item
instance of: scholarly article
title: Topological chaos of universal elementary cellular automata rule
zbMATH Open document ID: 1215.37015
author: Weifeng Jin
author: Fangyue Chen
published in: Nonlinear Dynamics
publication date: 2011-06-30T00:00:00Z
Mathematics Subject Classification ID: 37B15
zbMATH DE Number: 5916597
zbMATH Keywords: cellular automata
zbMATH Keywords: blocking transformation
zbMATH Keywords: chaos
zbMATH Keywords: universality
zbMATH Keywords: symbolic dynamics
MaRDI profile type: Publication
full work available at URL: s11071-010-9798-z
OpenAlex ID: W2057507812
cites work: Simulation of HIV infection in artificial immune systems
cites work: Endomorphisms and automorphisms of the shift dynamical system
cites work: Statistical mechanics of cellular automata
cites work: Q3750126
cites work: Q3675526
cites work: Q3150942
cites work: A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART III: PREDICTING THE UNPREDICTABLE
cites work: A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART IV: FROM BERNOULLI SHIFT TO 1/f SPECTRUM
cites work: A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART VI: FROM TIME-REVERSIBLE ATTRACTORS TO THE ARROW OF TIME
cites work: A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART VIII: MORE ISLES OF EDEN
cites work: Q3654093
cites work: Chaos of elementary cellular automata rule 42 of Wolfram’s class II
cites work: Q5321501
cites work: P-completeness of Cellular Automaton Rule 110
cites work: 1/f Noise in Elementary Cellular Automaton Rule 110
cites work: Additive one-dimensional cellular automata are chaotic according to Devaney's definition of chaos
cites work: Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
cites work: On Li-Yorke pairs
cites work: Machines, Computations, and Universality
cites work: On the dynamical behavior of chaotic cellular automata
DOI: 10.1007/S11071-010-9798-Z
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description: scientific article; zbMATH DE number 5916597