dorsal/arxiv
View SchemaComplex Patterns in a Simple System
| Authors | John E. Pearson |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9304003 |
| URL | https://arxiv.org/abs/patt-sol/9304003 |
| DOI | 10.1126/science.261.5118.189 |
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.
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"abstract": "Numerical simulations of a simple reaction--diffusion model reveal a\nsurprising variety of irregular spatio--temporal patterns. These patterns arise\nin response to finite--amplitude perturbations. Some of them resemble the\nsteady irregular patterns discussed by Lee et al. Others consist of spots which\ngrow until they reach a critical size at which time they divide in two. If, in\nsome region, the spots become overcrowded, all the spots in that region decay\ninto the uniform background.",
"arxiv_id": "patt-sol/9304003",
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"doi": "10.1126/science.261.5118.189",
"title": "Complex Patterns in a Simple System",
"url": "https://arxiv.org/abs/patt-sol/9304003"
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