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Twist Periodic Solutions in the Relativistic Driven Harmonic Oscillator

Daniel Núñez and Andrés Rivera

Abstract and Applied Analysis, 2016, vol. 2016, issue 1

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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https://doi.org/10.1155/2016/6084082

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