Fundamental Cycle of a Periodic Box-Ball System
Exactly Solvable and Integrable Systems
2009-11-07 v1 Cellular Automata and Lattice Gases
Abstract
We investigate a soliton cellular automaton (Box-Ball system) with periodic boundary conditions. Since the cellular automaton is a deterministic dynamical system that takes only a finite number of states, it will exhibit periodic motion. We determine its fundamental cycle for a given initial state.
Keywords
Cite
@article{arxiv.nlin/0208042,
title = {Fundamental Cycle of a Periodic Box-Ball System},
author = {Daisuke Yoshihara and Fumitaka Yura and Tetsuji Tokihiro},
journal= {arXiv preprint arXiv:nlin/0208042},
year = {2009}
}
Comments
28 pages, 6 figures