Stability for quasi-periodically perturbed Hill's equations

Guido Gentile, Daniel A. Cortez, Joao C. A. Barata

We consider a perturbed Hill's equation of the form $\ddot{\varphi }+(p_0(t)+\epsilon p_1(t))\varphi =0$, where $p_0$ is real analytic and periodic, $p_1$ is real analytic and quasi-periodic…