Periodic solutions for the Lorentz force equation with singular potentials

Autor:	Manuel J. Castillo Garzón, Pedro J. Torres
Rok vydání:	2021
Předmět:	Electromagnetic field Motion (geometry) FOS: Physical sciences Dynamical Systems (math.DS) 01 natural sciences symbols.namesake Classical Analysis and ODEs (math.CA) FOS: Mathematics Mathematics - Dynamical Systems 0101 mathematics Mathematical Physics Physics Applied Mathematics 010102 general mathematics General Engineering General Medicine Mathematical Physics (math-ph) Action (physics) Charged particle 010101 applied mathematics Computational Mathematics Classical mechanics Mathematics - Classical Analysis and ODEs symbols Cover (algebra) Gravitational singularity General Economics Econometrics and Finance Lorentz force Magnetic dipole Analysis
DOI:	10.48550/arxiv.2103.09544
Popis:	We provide sufficient conditions for the existence of periodic solutions of the Lorentz force equation, which models the motion of a charged particle under the action of an electromagnetic fields. The basic assumptions cover relevant models with singularities like Coulomb-like electric potentials or the magnetic dipole.
Databáze:	OpenAIRE
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