On the periodic solutions of the relativistic driven harmonic oscillator
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))

Date:	2020
Abstract:	Using the averaging theory, we prove the existence of periodic orbits with small velocities with respect to the speed of light in the forced harmonic oscillator with relativistic effects in dimension one.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MDM-2014-0445 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic solution ; Relativistic harmonic oscillator ; Averaging theory
Published in:	Journal of Mathematical Physics, Vol. 61, Issue 1 (January 2020) , art. 012501, ISSN 1089-7658

DOI: 10.1063/1.5129377

Postprint 8 p, 256.2 KB

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