Existence of standing pulse solutions for an excitable activator- inhibitory system (Q1188332)
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scientific article; zbMATH DE number 40497
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of standing pulse solutions for an excitable activator- inhibitory system |
scientific article; zbMATH DE number 40497 |
Statements
Existence of standing pulse solutions for an excitable activator- inhibitory system (English)
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13 August 1992
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A system of two reaction-diffusion equations modeled after excitable media is considered. Existence of a standing wave (that is, a stationary solution) is established. Geometric singular perturbation theory (the invariant manifold techniques) is applied to obtain a standing wave as a homoclinic orbit of the underlying system of ODEs.
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reaction-diffusion equations
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excitable media
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standing wave
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singular perturbation theory
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invariant manifold techniques
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homoclinic orbit
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