On the periodic solutions of a perturbed double pendulum

Details On the periodic solutions of a perturbed double pendulum On the periodic solutions of a perturbed double pendulum

2011-09-29

arxiv.org/abs/1109.6378v1

Mathematics

Dynamical Systems

Scientific paper

We provide sufficient conditions for the existence of periodic solutions of
the planar double pendulum with small oscillations perturbed by smooth and
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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