SYMMETRIC SELF-ORGANIZATION IN A CELLULAR AUTOMATON REQUIRING AN ESSENTIALLY RANDOM FEEDBACK: OBSERVATIONS, CONJECTURES, QUESTIONS

DOI10.1142/S0218127403007102zbMath1056.37012OpenAlexW2033857457WikidataQ123008236 ScholiaQ123008236MaRDI QIDQ4653828

Fritz von Haeseler, André M. Barbé

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127403007102

zbMATH Keywords

Cellular automataself-organizationPascal's triangleGauss-Seidel algorithmsymmetric patternsasynchronous circuits

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamical aspects of cellular automata (37B15)

Related Items (3)

The Pascal matroid as a home for generating sets of cellular automata configurations defined by quasigroups ⋮ Frame cellular automata: Configurations, generating sets and related matroids ⋮ NECESSITY FROM CHANCE: SELF-ORGANIZED REPLICATION OF SYMMETRIC PATTERNS THROUGH SYMMETRIC RANDOM INTERACTIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Irrational speeds of configurations growth in generalized Pascal triangles
• Symmetric patterns in the cellular automaton that generates Pascal's triangle modulo 2
• Linear cellular automata, finite automata and Pascal's triangle
• COARSE-GRAINING INVARIANT PATTERNS OF ONE-DIMENSIONAL TWO-STATE LINEAR CELLULAR AUTOMATA
• Complex Order from Disorder and from Simple Order in Coarse-Graining Invariant Orbits of Certain Two-Dimensional Linear Cellular Automata
• SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA I
• Cellular automata, quasigroups and symmetries

This page was built for publication: SYMMETRIC SELF-ORGANIZATION IN A CELLULAR AUTOMATON REQUIRING AN ESSENTIALLY RANDOM FEEDBACK: OBSERVATIONS, CONJECTURES, QUESTIONS