On the two-scale method for the problem of perturbed one-frequency oscillations
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 \(t=O(\varepsilon^{-1})\).
scientific article; zbMATH DE number 1465884