dorsal/arxiv
View SchemaScenarios of domain pattern formation in a reaction-diffusion system
| Authors | C. B. Muratov, V. V. Osipov |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9607002 |
| URL | https://arxiv.org/abs/patt-sol/9607002 |
| DOI | 10.1103/PhysRevE.54.4860 |
| Journal | Phys. Rev. E 54, 4860 (1996). |
Abstract
We performed an extensive numerical study of a two-dimensional reaction-diffusion system of the activator-inhibitor type in which domain patterns can form. We showed that both multidomain and labyrinthine patterns may form spontaneously as a result of Turing instability. In the stable homogeneous system with the fast inhibitor one can excite both localized and extended patterns by applying a localized stimulus. Depending on the parameters and the excitation level of the system stripes, spots, wriggled stripes, or labyrinthine patterns form. The labyrinthine patterns may be both connected and disconnected. In the the stable homogeneous system with the slow inhibitor one can excite self-replicating spots, breathing patterns, autowaves and turbulence. The parameter regions in which different types of patterns are realized are explained on the basis of the asymptotic theory of instabilities for patterns with sharp interfaces developed by us in Phys. Rev. E. 53, 3101 (1996). The dynamics of the patterns observed in our simulations is very similar to that of the patterns forming in the ferrocyanide-iodate-sulfite reaction.
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"abstract": "We performed an extensive numerical study of a two-dimensional\nreaction-diffusion system of the activator-inhibitor type in which domain\npatterns can form. We showed that both multidomain and labyrinthine patterns\nmay form spontaneously as a result of Turing instability. In the stable\nhomogeneous system with the fast inhibitor one can excite both localized and\nextended patterns by applying a localized stimulus. Depending on the parameters\nand the excitation level of the system stripes, spots, wriggled stripes, or\nlabyrinthine patterns form. The labyrinthine patterns may be both connected and\ndisconnected. In the the stable homogeneous system with the slow inhibitor one\ncan excite self-replicating spots, breathing patterns, autowaves and\nturbulence. The parameter regions in which different types of patterns are\nrealized are explained on the basis of the asymptotic theory of instabilities\nfor patterns with sharp interfaces developed by us in Phys. Rev. E. 53, 3101\n(1996). The dynamics of the patterns observed in our simulations is very\nsimilar to that of the patterns forming in the ferrocyanide-iodate-sulfite\nreaction.",
"arxiv_id": "patt-sol/9607002",
"authors": [
"C. B. Muratov",
"V. V. Osipov"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.54.4860",
"journal_ref": "Phys. Rev. E 54, 4860 (1996).",
"title": "Scenarios of domain pattern formation in a reaction-diffusion system",
"url": "https://arxiv.org/abs/patt-sol/9607002"
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