Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimensions (Q698392)
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scientific article; zbMATH DE number 1802940
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimensions |
scientific article; zbMATH DE number 1802940 |
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Dynamics of metastable localized patterns and its application to the interaction of spike solutions for the Gierer-Meinhardt systems in two spatial dimensions (English)
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29 January 2004
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The authors investigate the so-called Gierer-Meinhardt system describing pattern formation in the regeneration of hydra amenable. They prove the existence and stability of a single spike solution. They also investigate the interaction of multi-spike solutions in two spatial dimensions when the distances between them are sufficiently large. It explains and clarifies a part of mechanism of the evolution process of localized patterns observed in simulations of the Gierer-Meinhardt model.
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interaction of spike solutions
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Gierer-Meinhardt model
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reaction-diffusion system
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Turing instability
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pattern formation
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