Motion representation of one-dimensional cellular automaton rules
Cellular Automata and Lattice Gases
2015-06-26 v2
Abstract
Generalizing the motion representation we introduced for number-conserving rules, we give a systematic way to construct a generalized motion representation valid for non-conservative rules using the expression of the current, which appears in the discrete version of the continuity equation, completed by the discrete analogue of the source term. This new representation is general, but not unique, and can be used to represent, in a more visual way, any one-dimensional cellular automaton rule. A few illustrative examples are presented.
Keywords
Cite
@article{arxiv.nlin/0501043,
title = {Motion representation of one-dimensional cellular automaton rules},
author = {Nino Boccara and Henryk Fuks},
journal= {arXiv preprint arXiv:nlin/0501043},
year = {2015}
}
Comments
9 pages