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Periodic dynamics in the relativistic regime of an electromagnetic field induced by a time-dependent wire
dc.contributor.author | Garzón Martínez, Manuel | |
dc.contributor.author | Torres Villarroya, Pedro José | |
dc.date.accessioned | 2023-05-09T09:46:54Z | |
dc.date.available | 2023-05-09T09:46:54Z | |
dc.date.issued | 2023-03-14 | |
dc.identifier.uri | https://hdl.handle.net/10481/81406 | |
dc.description.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. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lorentz force equation | es_ES |
dc.subject | Electromagnetic field | es_ES |
dc.subject | Straight wire | es_ES |
dc.subject | Oscillating current | es_ES |
dc.subject | Radially periodic solution | es_ES |
dc.subject | Global continuation | es_ES |
dc.subject | Bessel functions | es_ES |
dc.title | Periodic dynamics in the relativistic regime of an electromagnetic field induced by a time-dependent wire | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1016/j.jde.2023.02.067 | |
dc.type.hasVersion | VoR | es_ES |