On the two-scale method for the problem of perturbed one-frequency oscillations (Q1567789)
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scientific article; zbMATH DE number 1465884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the two-scale method for the problem of perturbed one-frequency oscillations |
scientific article; zbMATH DE number 1465884 |
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On the two-scale method for the problem of perturbed one-frequency oscillations (English)
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11 June 2001
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The author considers asymptotical properties of the solution to ordinary differential equations with a small parameter \({{d\rho} \over {d \varphi}} =\varepsilon G(\rho, \varphi , \varepsilon)\). Under some general asumptions, the two-scale method is used to construct an asymptotic expansion of the solution up to any order in \(\varepsilon\) on a time interval \(t=O(\varepsilon^{-1})\).
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two-scale method
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perturbed oscillations
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asymptotic methods
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