Averaging and periodic solutions in the plane and parametrically excited pendulum

DOI10.1007/S11012-007-9062-XzbMath1163.70324OpenAlexW2062051340MaRDI QIDQ1027857

Noureddine Mehidi

Publication date: 30 June 2009

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-007-9062-x

zbMATH Keywords

periodic solutionspendulumsymmetriesaveraging

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (2)

Transverse runout in flexible disk rotating at periodically varying angular speed ⋮ An extension of the Levi-Weckesser method to the stabilization of the inverted pendulum under gravity

Cites Work

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• Solutions périodiques symétriques de l'équation de Duffing sans dissipation
• Nonstandard analysis. A practical guide with applications
• On dynamical systems with high frequency parametric excitation
• Subharmonic Oscillations of a Pendulum
• The Forced Oscillations of a Simple Pendulum
• Internal set theory: A new approach to nonstandard analysis
• An Analytical Solution of the Inverted Pendulum
• On the Subharmonic Oscillations of a Pendulum
• Averaging methods in nonlinear dynamical systems

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