Application of the method of two-scale expansions to the single-frequency problem of the theory of nonlinear oscillations

DOI10.1016/0021-8928(85)90025-5zbMath0596.70027OpenAlexW2046097843MaRDI QIDQ1079036

V. D. Azhotkin, Vasilii M. Babich

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(85)90025-5

zbMATH Keywords

Cauchy problemmethod of successive approximationsmethod of two-scale expansionssingle-frequency systemtheory of nonlinear oscillations

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

Two-scale expansions in the theory of multifrequency oscillations ⋮ Adiabatic approximation for a model of cyclotron motion ⋮ Analysis of the Bloch equations for the nuclear magnetization model ⋮ Autoresonance in a model of a terahertz wave generator

Cites Work

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• Finite-zone, almost-periodic solutions in WKB approximations
• Applications of the methods of averaging and successive approximations for studying nonlinear oscillations
• Asymptotic solutions of nonlinear second order differential equations with variable coefficients

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