Periodic Impact Motions at Resonance of a Particle Bouncing on Spheres and Cylinders
Periodic Impact Motions at Resonance of a Particle Bouncing on Spheres and Cylinders
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 …