Extended Cellular Automata
Cellular Automata and Lattice Gases
2025-02-25 v1 Mathematical Physics
Dynamical Systems
math.MP
Chaotic Dynamics
Abstract
In this work, the one-dimensional Cellular Automaton is extended to one that involves two sets of symbols and two global rules. As a main result, the Extended Curtis-Hedlund-Lyndon Theorem is demonstrated. Such constructions can be useful in studying complex systems involving two related phenomena and provide a way to their co-study.
Cite
@article{arxiv.2502.17065,
title = {Extended Cellular Automata},
author = {Pouya Mehdipour and Mostafa Salarinoghabi and Paula Gibrim},
journal= {arXiv preprint arXiv:2502.17065},
year = {2025}
}