On the periodic solutions of the relativistic driven harmonic oscillator

Jaume Llibre; Amar Makhlouf

doi:10.1063/1.5129377

On the periodic solutions of the relativistic driven harmonic oscillator

Jaume Llibre, Amar Makhlouf

Departament de Matemàtiques

Badji Mokhtar - Annaba University

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

3 Cites (Scopus)

Resum

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.

Idioma original	Anglès
Número d’article	012501
Revista	Journal of Mathematical Physics
Volum	61
Número	1
DOIs	https://doi.org/10.1063/1.5129377
Estat de la publicació	Publicada - 1 de gen. 2020

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10.1063/1.5129377

https://ddd.uab.cat/record/221293

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title = "On the periodic solutions of the relativistic driven harmonic oscillator",

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.",

author = "Jaume Llibre and Amar Makhlouf",

note = "Publisher Copyright: {\textcopyright} 2020 Author(s).",

year = "2020",

month = jan,

day = "1",

doi = "10.1063/1.5129377",

language = "English",

volume = "61",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

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T1 - On the periodic solutions of the relativistic driven harmonic oscillator

AU - Llibre, Jaume

AU - Makhlouf, Amar

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85077982992

U2 - 10.1063/1.5129377

DO - 10.1063/1.5129377

M3 - Article

AN - SCOPUS:85077982992

SN - 0022-2488

VL - 61

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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M1 - 012501

ER -

On the periodic solutions of the relativistic driven harmonic oscillator

Resum

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