Motions of a charged particle in the electromagnetic field induced by a non-stationary current

DOI10.1016/j.physd.2021.132945zbMath1483.78001arXiv2103.05396OpenAlexW3135906832MaRDI QIDQ2077709

Stefano Marò, Manuel Garzón

Publication date: 21 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.05396

zbMATH Keywords

stabilityMaxwell's equationsLorentz forcesingular potentialsnon-steady currentperiodic solutions of twist type

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Electromagnetic theory (general) (78A25) Motion of charged particles (78A35)

Related Items (1)

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

Cites Work

• Relativistic pendulum and invariant curves
• Motion of charged particles in magnetic fields created by symmetric configurations of wires
• Periodic motion of atoms near a charged wire
• Twist property of periodic motion of an atom near a charged wire
• Critical point theory for the Lorentz force equation
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Twist periodic solutions of repulsive singular equations
• Periodic solutions of a Newtonian equation: Stability by the third approximation
• Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex
• Periodic solutions for the Lorentz force equation with singular potentials
• Lusternik-Schnirelman theory for the action integral of the Lorentz force equation
• Motion of a charge in the magnetic field created by wires: impossibility of reaching the wires
• Some properties of the magnetic fields generated by symmetric configurations of wires
• Recent Developments in the Theory of Hamiltonian Systems
• Asymmetric Oscillators and Twist Mappings
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
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