Reducibility for a class of almost-periodic differential equations with degenerate equilibrium point under small almost-periodic perturbations (Q2015443)
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scientific article; zbMATH DE number 6306722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reducibility for a class of almost-periodic differential equations with degenerate equilibrium point under small almost-periodic perturbations |
scientific article; zbMATH DE number 6306722 |
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Reducibility for a class of almost-periodic differential equations with degenerate equilibrium point under small almost-periodic perturbations (English)
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23 June 2014
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Summary: This paper focuses on almost-periodic time-dependent perturbations of an almost-periodic differential equation near the degenerate equilibrium point. Using the KAM method, the perturbed equation can be reduced to a suitable normal form with zero as equilibrium point by an affine almost-periodic transformation. Hence, for the equation we can obtain a small almost-periodic solution.
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KAM method
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normal form
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