English

Totalistic two-dimensional cellular automata exhibiting global periodic behavior

adap-org 2015-06-24 v1 Adaptation and Self-Organizing Systems

Abstract

We have determined families of two-dimensional deterministic totalistic cellular automaton rules whose stationary density of active sites exhibits a period two in time. Each family of deterministic rules is characterized by an ``average probabilistic totalistic rule'' exhibiting the same periodic behavior.

Keywords

Cite

@article{arxiv.adap-org/9904002,
  title  = {Totalistic two-dimensional cellular automata exhibiting global periodic behavior},
  author = {Nino Boccara and Michel Roger},
  journal= {arXiv preprint arXiv:adap-org/9904002},
  year   = {2015}
}

Comments

8 figures

R2 v1 2026-07-22T07:40:54.377Z