Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system (Q1018387)
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scientific article; zbMATH DE number 5555282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system |
scientific article; zbMATH DE number 5555282 |
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Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system (English)
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19 May 2009
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The authors study the traveling waves for a lattice dynamical system with monostable nonlinearity in a periodic medium. It is well known that there exists a minimal wave speed such that a traveling wave exists if and only if the wave speed is above this minimal wave speed. The present paper derives a stability theorem for certain waves of non-minimal speed and shows that wave profiles of a given speed are unique up to translations.
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lattice dynamical system
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monostable
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traveling wave
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wave speed
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wave profile
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