Twist periodic solutions in the relativistic driven harmonic oscillator (Q1669252)

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scientific article; zbMATH DE number 6929380
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Twist periodic solutions in the relativistic driven harmonic oscillator
scientific article; zbMATH DE number 6929380

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    Twist periodic solutions in the relativistic driven harmonic oscillator (English)
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    30 August 2018
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    Summary: 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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