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Averaging and periodic solutions in the plane and parametrically excited pendulum

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Abstract

We first approximate the solutions of the nonautonomous oscillating suspension point pendulum equation by the solutions of a second order autonomous differential equation. Using the strict monotonicity of the periodic solutions of the approximating equation, we prove the existence of a large number of subharmonic periodic solutions of the plane pendulum when its point of suspension is excited parametrically.

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  1. Laboratory of applied mathematics, University of Bejaia, Targua ouzemmour, 06000, Bejaia, Algeria

    Noureddine Mehidi

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  1. Noureddine Mehidi
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Correspondence to Noureddine Mehidi.

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Mehidi, N. Averaging and periodic solutions in the plane and parametrically excited pendulum. Meccanica 42, 403–407 (2007). https://doi.org/10.1007/s11012-007-9062-x

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  • DOI: https://doi.org/10.1007/s11012-007-9062-x

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