A parameter study of epitaxial crystal growth (Q1573976)
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scientific article; zbMATH DE number 1486580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A parameter study of epitaxial crystal growth |
scientific article; zbMATH DE number 1486580 |
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A parameter study of epitaxial crystal growth (English)
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9 August 2000
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The author studies properties of solutions to the differential equation for a model of crystal growth. He derives a third-order autonomous ordinary differential equation that describes a travelling wave solution. He considers its equilibria, periodic solutions and discusses their stability. Numerical computation is used to find almost-periodic orbits and to show that there exist period doubling and homoclinic bifurcations.
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Villain evolution equation
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Kuramoto-Sivashinsky equation
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equilibrium
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periodic and almost-periodic solution
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stability
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