Complex Patterns in a Simple System

J. E. Pearson
1993 Science  
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.
doi:10.1126/science.261.5118.189 pmid:17829274 fatcat:gahjdaopqfhtte73kszlcloiru