Periodic solutions for the Lorentz force equation with singular potentials
Mathematical Physics
2021-03-18 v1 Classical Analysis and ODEs
Dynamical Systems
math.MP
Abstract
We provide sufficient conditions for the existence of periodic solutions of the of the Lorentz force equation, which models the motion of a charged particle under the action of an electromagnetic fields. The basic assumptions cover relevant models with singularities like Coulomb-like electric potentials or the magnetic dipole.
Cite
@article{arxiv.2103.09544,
title = {Periodic solutions for the Lorentz force equation with singular potentials},
author = {Manuel Garzón and Pedro J. Torres},
journal= {arXiv preprint arXiv:2103.09544},
year = {2021}
}