SYMMETRIC SELF-ORGANIZATION IN A CELLULAR AUTOMATON REQUIRING AN ESSENTIALLY RANDOM FEEDBACK: OBSERVATIONS, CONJECTURES, QUESTIONS-Reference-Cited by-同舟云学术

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

Published:2003-05 Issue:05 Volume:13 Page:1029-1054
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

BARBÉ ANDRÉ¹,VON HAESELER FRITZ¹

Affiliation:

1. Katholieke Universiteit Leuven, Department of Electrical Engineering, Kasteelpark Arenberg 10, B-3001 Leuven, Belgium

Abstract

A triangular cellular array whose cell-states satisfy the local rule of the cellular automaton that generates Pascal's triangle modulo 2 is subjected to a feedback inspired by conditions for rotational symmetry of its state-pattern. We discuss observations and conjectures about the fact that, in order to stabilize effectively in a rotationally symmetric pattern, the underlying recursion (feedback) procedure must have an essentially random nature.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127403007102

Reference16 articles.

1. Linear cellular automata, finite automata and Pascal's triangle

2. COARSE-GRAINING INVARIANT PATTERNS OF ONE-DIMENSIONAL TWO-STATE LINEAR CELLULAR AUTOMATA

3. Complex Order from Disorder and from Simple Order in Coarse-Graining Invariant Orbits of Certain Two-Dimensional Linear Cellular Automata

4. Symmetric patterns in the cellular automaton that generates Pascal's triangle modulo 2

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