Periodic dynamics in the relativistic regime of an electromagnetic field induced by a time-dependent wire Garzón Martínez, Manuel Torres Villarroya, Pedro José Lorentz force equation Electromagnetic field Straight wire Oscillating current Radially periodic solution Global continuation Bessel functions We consider the motion of a charged particle under the electromagnetic field generated by an electrically neutral infinite straight wire with a time-periodic oscillating (AC-DC) current. By using global continuation and topological degree, we identify a bi-parametric family of radially periodic motions. The proofs involve some delicate estimations of the induced electromagnetic field, which can be of independent interest. 2023-05-09T09:46:54Z 2023-05-09T09:46:54Z 2023-03-14 journal article https://hdl.handle.net/10481/81406 10.1016/j.jde.2023.02.067 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier