@misc{10481/81406,
year = {2023},
month = {3},
url = {https://hdl.handle.net/10481/81406},
abstract = {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.},
publisher = {Elsevier},
keywords = {Lorentz force equation},
keywords = {Electromagnetic field},
keywords = {Straight wire},
keywords = {Oscillating current},
keywords = {Radially periodic solution},
keywords = {Global continuation},
keywords = {Bessel functions},
title = {Periodic dynamics in the relativistic regime of an electromagnetic field induced by a time-dependent wire},
doi = {10.1016/j.jde.2023.02.067},
author = {Garzón Martínez, Manuel and Torres Villarroya, Pedro José},
}