English

Structure of Rule Table and Phase Diagram of One Dimensional Cellular Automata

Cellular Automata and Lattice Gases 2007-05-23 v5

Abstract

In addition to the λ\lambda parameter, we have found another parameter which characterize the class III, class II and class IV patterns more quantitatively. It explains why the different classes of patterns coexist at the same λ\lambda. With this parameter, the phase diagram for an one dimensional cellular automata is obtained. Our result explains why the edge of chaos(class IV) is scattered rather wide range in λ\lambda around 0.5, and presents an effective way to control the pattern classes. \noindent PACS: 89.75.-k Complex Systems

Keywords

Cite

@article{arxiv.nlin/0204045,
  title  = {Structure of Rule Table and Phase Diagram of One Dimensional Cellular Automata},
  author = {Sunao Sakai and Megumi Kanno},
  journal= {arXiv preprint arXiv:nlin/0204045},
  year   = {2007}
}

Comments

13 pages in latex, 3 Postscript figures