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arXiv · 1504.03457

Periodic impact motions at resonance of a particle bouncing on spheres and cylinders

Andrea Sfecci
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Abstract

We investigate the existence of periodic trajectories of a particle, subject to a central force, which can hit a sphere, or a cylinder. We will provide also a Landesman-Lazer type of condition in the case of a nonlinearity satisfying a double resonance condition. Afterwards, we will show how such a result can be adapted to obtain a new result for the impact oscillator at double resonance.

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Andrea Sfecci. 2015-04-14. Periodic impact motions at resonance of a particle bouncing on spheres and cylinders. https://doi.org/10.1515/ans-2016-6026

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