Complex Patterns in a Simple System
patt-sol
2009-10-22 v1 comp-gas
Cellular Automata and Lattice Gases
Pattern Formation and Solitons
Abstract
Numerical simulations of a simple reaction--diffusion model reveal a surprising variety of irregular spatio--temporal patterns. These patterns arise in response to finite--amplitude perturbations. Some of them resemble the steady irregular patterns discussed by Lee et al. Others consist of spots which grow until they reach a critical size at which time they divide in two. If, in some region, the spots become overcrowded, all the spots in that region decay into the uniform background.
Cite
@article{arxiv.patt-sol/9304003,
title = {Complex Patterns in a Simple System},
author = {John E. Pearson},
journal= {arXiv preprint arXiv:patt-sol/9304003},
year = {2009}
}
Comments
16 pages, LaTeX. Figures included (3 PostScript, 3 GIF)