Complex Patterns in a Simple System

Details Complex Patterns in a Simple System Complex Patterns in a Simple System

1993-04-17

arxiv.org/abs/patt-sol/9304003v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

16 pages, LaTeX. Figures included (3 PostScript, 3 GIF)

Scientific paper

10.1126/science.261.5118.189

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.

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