Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:A3L-B
Session:
Number:A3L-B-1
Phase Transition in Adaptive Elementary Cellular Automata
Shigeru Ninagawa, Ramon Alonso-Sanz,
pp.225-228
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
We propose adaptive cellular automata that can change the rule set of each cell during evolution according to a metarule which refers the weighted mean of its own past states. Especially we take up the metarule that switches two elementary cellular automaton rule sets, rule 110 and rule 90, and investigate its behavior using entropy and power spectrum. The patterns change from complex to chaotic through periodic behavior as the threshold varies from zero to one. 1/f noise gradually emerges as the threshold is getting close to one and suddenly turns into white noise at the threshold equal to one.