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.
"Twist Periodic Solutions in the Relativistic Driven Harmonic Oscillator." Abstr. Appl. Anal. 2016 1 - 7, 2016. https://doi.org/10.1155/2016/6084082