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Science 9 July 1993:
Vol. 261. no. 5118, pp. 189 - 192
DOI: 10.1126/science.261.5118.189

Articles

Complex Patterns in a Simple System

John E. Pearson 1

1 Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545

Numerical simulations of a simple reaction-diffusion model reveal a surprising variety of irregular spatiotemporal patterns. These patterns arise in response to finite-amplitude perturbations. Some of them resemble the steady irregular patterns recently observed in thin gel reactor experiments. Others consist of spots that grow until they reach a critical size, at which time they divide in two. If in some region the spots become overcrowded, all of the spots in that region decay into the uniform background.

Submitted on April 7, 1993
Accepted on May 13, 1993


THIS ARTICLE HAS BEEN CITED BY OTHER ARTICLES:
Effects of Boundaries on Pattern Formation: Catalytic Oxidation of CO on Platinum.
M. D. Graham, I. G. Kevrekidis, K. Asakura, J. Lauterbach, K. Krischer, H.-H. Rotermund, and G. Ertl (1994)
Science 264, 80-82
   Abstract »    PDF »
A Chemical Loom Weaves New Patterns.
I. Amato (1993)
Science 261, 165
   PDF »



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Science. ISSN 0036-8075 (print), 1095-9203 (online)