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arXiv · 1411.1585

Periodic and falling-free motion of an inverted spherical pendulum with a moving pivot point

Ivan Polekhin
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Abstract

For the system of an inverted spherical pendulum with friction and a periodically moving pivot point we prove the existence of at least one periodic solution with the additional property of being falling-free. The last means that the pendulum never becomes horizontal along the considered periodic solution. Presented proof is an application of some recent results in the fixed point theory.

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Ivan Polekhin. 2014-11-06. Periodic and falling-free motion of an inverted spherical pendulum with a moving pivot point. https://arxiv.org/abs/1411.1585

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