Twist Periodic Solutions in the Relativistic Driven Harmonic Oscillator

Daniel Núñez and Andrés Rivera

Abstract and Applied Analysis, 2016, vol. 2016, 1-7

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:6084082

DOI: 10.1155/2016/6084082

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