On the periodic solutions of a generalized smooth and non-smooth perturbed planar double pendulum with small oscillations

Mathematics – Dynamical Systems

Scientific paper

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arXiv admin note: substantial text overlap with arXiv:1109.6378

Scientific paper

We provide sufficient conditions for the existence of periodic solutions of a
generalized planar double pendulum with small oscillations perturbed by smooth
and non-smooth periodic functions in ressonance p:q with some of the periodic
solutions of the unperturbed double pendulum, being p and q positive integers
relatively prime.

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