Quasi-periodic solutions and stability for a weakly damped nonlinear quasi-periodic Mathieu equation

DOI10.1023/A:1014496917703zbMath1013.70018OpenAlexW48160460MaRDI QIDQ1610725

Mohamed Belhaq, Kamar Guennoun, Mohamed Houssni

Publication date: 20 August 2002

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014496917703

zbMATH Keywords

phaseanalytical solutionsamplitudemultiple-scale techniqueapproximate quasi-periodic solutionsautonomous reduced systemweakly damped nonlinear quasi-periodic Mathieu equation

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Multiple scale methods for ordinary differential equations (34E13)

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