Article ID Journal Published Year Pages File Type
10418003 Journal of Applied Mathematics and Mechanics 2005 8 Pages PDF
Abstract
The problem of the existence of periodic trajectories of a charged particle in a magnetic field, when the particle moves inside a closed convex region and is elastically reflected from its boundary, is considered. The presence of an infinite number of different periodic trajectories at low magnetic field strengths is established using Poincaré's geometric theorem. The conditions for two-link trajectories to be stable in the case of a uniform magnetic field are obtained.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
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