Dynamical aspects of a bouncing ball in a nonhomogeneous field

We study some dynamical properties of a charged particle that moves in a nonhomogeneous electric field and collides against an oscillating platform. Depending on the values of parameters, the system presents (i) predominantly regular dynamics or (ii) structures of chaotic behavior in phase space conditioned to the initial conditions. The localization of the fixed points and their stability are carefully discussed. Average properties of the chaotic sea are investigated under a scaling approach. We show that the system belongs to the same universality class as the Fermi-Ulam model.

Automated summary

The study examines the dynamical properties of a charged particle colliding with an oscillating platform in a nonhomogeneous electric field, showcasing regular dynamics or chaotic behavior based on parameter values and initial conditions. Localization and stability of fixed points are carefully analyzed, with investigation into the chaotic sea's average properties using a scaling approach. It is shown that the system belongs to the same universality class as the Fermi-Ulam model.