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Periodic and quasi‐periodic motions of a relativistic particle under a central force field
Author(s) -
Torres Pedro J.,
Ureña Antonio J.,
Zamora Manuel
Publication year - 2013
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bds076
Subject(s) - subharmonic , quasi periodic , classical mechanics , plane (geometry) , mathematics , central force , field (mathematics) , relativistic particle , action (physics) , force field (fiction) , periodic function , particle (ecology) , physics , mathematical analysis , geometry , quantum mechanics , pure mathematics , nonlinear system , electron , astrophysics , oceanography , geology
We consider a relativistic particle under the action of a time‐periodic central force field in the plane. When it is attractive at a given level there are many subharmonic and quasi‐periodic motions.