Periodic dynamics in the relativistic regime of an electromagnetic field induced by a time-dependent wire
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Elsevier
Materia
Lorentz force equation Electromagnetic field Straight wire Oscillating current Radially periodic solution Global continuation Bessel functions
Fecha
2023-03-14Resumen
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.