Temporal homogenization of linear ODEs, with applications to parametric super-resonance and energy harvest

Molei Tao, Houman Owhadi

We consider the temporal homogenization of linear ODEs of the form $\dot{x}=Ax+\epsilon P(t)x+f(t)$, where $P(t)$ is periodic and $\epsilon$ is small. Using a 2-scale expansion approach, we obtai…