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2016 Twist Periodic Solutions in the Relativistic Driven Harmonic Oscillator
Daniel Núñez, Andrés Rivera
Abstr. Appl. Anal. 2016: 1-7 (2016). DOI: 10.1155/2016/6084082


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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Daniel Núñez. Andrés Rivera. "Twist Periodic Solutions in the Relativistic Driven Harmonic Oscillator." Abstr. Appl. Anal. 2016 1 - 7, 2016.


Received: 27 March 2016; Accepted: 16 May 2016; Published: 2016
First available in Project Euclid: 13 August 2016

zbMATH: 06929380
MathSciNet: MR3515330
Digital Object Identifier: 10.1155/2016/6084082

Rights: Copyright © 2016 Hindawi

Vol.2016 • 2016
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