Periodic dynamics in the relativistic regime of an electromagnetic field induced by a time-dependent wire

Garzón Martínez, Manuel; Torres Villarroya, Pedro José

doi:10.1016/j.jde.2023.02.067

1-s2.0-S0022039623001560-main.pdf (374.2Ko)

Identificadores

URI: https://hdl.handle.net/10481/81406

DOI: 10.1016/j.jde.2023.02.067

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Editorial

Elsevier

Materia

Lorentz force equation

Electromagnetic field

Straight wire

Oscillating current

Radially periodic solution

Global continuation

Bessel functions

Date

2023-03-14

Résumé

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.

Colecciones

DMA - Artículos

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