Abstract and Applied Analysis

Twist Periodic Solutions in the Relativistic Driven Harmonic Oscillator

Daniel Núñez and Andrés Rivera

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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.

Article information

Abstr. Appl. Anal. Volume 2016 (2016), Article ID 6084082, 7 pages.

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

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Núñez, Daniel; Rivera, Andrés. Twist Periodic Solutions in the Relativistic Driven Harmonic Oscillator. Abstr. Appl. Anal. 2016 (2016), Article ID 6084082, 7 pages. doi:10.1155/2016/6084082. https://projecteuclid.org/euclid.aaa/1471047230

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