On the two-scale method for the problem of perturbed one-frequency oscillations

DOI10.1007/BF02557325zbMath0963.34040OpenAlexW2002277436MaRDI QIDQ1567789

A. M. Il'in

Publication date: 11 June 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02557325

zbMATH Keywords

asymptotic methodstwo-scale methodperturbed oscillations

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) General perturbation schemes for nonlinear problems in mechanics (70K60) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)

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• On a solution of the van der Pol equation