Twist periodic solutions in the relativistic driven harmonic oscillator

Daniel Elías Nuñez Lopez; Andrés  Rivera

doi:10.1155/2016/6084082

Twist periodic solutions in the relativistic driven harmonic oscillator

Título traducido de la contribución: Soluciones periódicas tipo twist en el oscilador armónico relativista forzado

Producción: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

We study the one-dimensional forced harmonic oscillator with relativistic effects. Under some conditions of the parameters, the existence of a unique stable periodic solution is proved which is of twist type. The results depend on a Twist Theorem for nonlinear Hill’s equations which is established and proved here.

Título traducido de la contribución	Soluciones periódicas tipo twist en el oscilador armónico relativista forzado
Idioma original	Inglés
Número de artículo	6084082
Páginas (desde-hasta)	1-7
Número de páginas	7
Publicación	Abstract and Applied Analysis
Volumen	2016
N.º	1
DOI	https://doi.org/10.1155/2016/6084082
Estado	Publicada - 13 jun 2016

Palabras clave

Periodic solutions
Nonlinear oscillations
KAM dynamics

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10.1155/2016/6084082

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https://www.scopus.com/pages/publications/84976542438

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title = "Twist periodic solutions in the relativistic driven harmonic oscillator",

abstract = "We study the one-dimensional forced harmonic oscillator with relativistic effects. Under some conditions of the parameters, the existence of a unique stable periodic solution is proved which is of twist type. The results depend on a Twist Theorem for nonlinear Hill{\textquoteright}s equations which is established and proved here.",

keywords = "Periodic solutions, Nonlinear oscillations, KAM dynamics",

author = "\{Nu{\~n}ez Lopez\}, \{Daniel El{\'i}as\} and Andr{\'e}s Rivera",

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year = "2016",

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AU - Rivera, Andrés

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AB - We study the one-dimensional forced harmonic oscillator with relativistic effects. Under some conditions of the parameters, the existence of a unique stable periodic solution is proved which is of twist type. The results depend on a Twist Theorem for nonlinear Hill’s equations which is established and proved here.

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KW - Nonlinear oscillations

KW - KAM dynamics

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DO - 10.1155/2016/6084082

M3 - Article

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Twist periodic solutions in the relativistic driven harmonic oscillator

Resumen

Palabras clave

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Huella

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