Floquet representations and asymptotic behavior of periodic evolution families
Fatih Bayazit, Ulrich Groh, Rainer J. Nagel · Discrete and Continuous Dynamical Systems · 2013
We use semigroup techniques to describe the asymptotic behavior of contractive, periodic evolution families on Hilbert spaces. In particular, we show that such evolution families converge almost weakly to a Floquet representation with discrete spectrum.