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

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3 Scopus citations

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’s equations which is established and proved here.

Translated title of the contribution	Soluciones periódicas tipo twist en el oscilador armónico relativista forzado
Original language	English
Article number	6084082
Pages (from-to)	1-7
Number of pages	7
Journal	Abstract and Applied Analysis
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1155/2016/6084082
State	Published - 13 Jun 2016

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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.",

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

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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.

KW - Periodic solutions

KW - Nonlinear oscillations

KW - KAM dynamics

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DO - 10.1155/2016/6084082

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Twist periodic solutions in the relativistic driven harmonic oscillator

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