Quasiperiodic solutions of Duffing’s equations

DOI10.1016/S0362-546X(98)00662-2zbMath0947.34029OpenAlexW2017222849MaRDI QIDQ4264265

Jiangong You, Bin Liu

Publication date: 2 November 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00662-2

zbMATH Keywords

solutionsboundednessquasiperiodic solutionsDiophantine conditionDuffing's equations

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Cites Work

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• Boundedness for solutions of nonlinear Hill's equations with periodic forcing terms via Moser's twist theorem
• Quasi-periodic solutions of Hamiltonian systems
• Invariant curves and time-dependent potentials
• Boundedness for solutions of nonlinear periodic differential equations via Moser's twist theorem
• Forced quasiperiodic and almost periodic oscillations of nonlinear duffing equations
• A case of boundedness in Littlewood's problem on oscillatory differential equations

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