Dynamic billiards for particles with inelastic reflections

Аннотация

The one-dimensional dynamics of particles that move between a stationary and a harmonically oscillating mirror have been analyzed analytically and numerically taking into account inelastic collisions of particles with mirrors. It has been shown that, in such “billiards,” in contrast to the case of elastic collisions, asymptotically stable periodic regimes are established, including the regime of periodic sticking of a particle to the oscillating mirror, as well as regimes of dynamic chaos.