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 also provide a Landesman–Lazer-type 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.
Periodic Impact Motions at Resonance of a Particle Bouncing on Spheres and Cylinders / Sfecci, Andrea. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 17:3(2017), pp. 481-496. [10.1515/ans-2016-6026]
Periodic Impact Motions at Resonance of a Particle Bouncing on Spheres and Cylinders
SFECCI, Andrea
2017-01-01
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 also provide a Landesman–Lazer-type 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.File in questo prodotto:
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