  In this article we prove the existence of a new family of periodic solutions
for discrete, nonlinear Schrodinger equations subject to spatially localized
driving and damping and we show numerically that they provide a more accurate
approximation to metastable states in these systems than previous proposals. We
also study the stability properties of these solutions and show that they fit
well with a previously proposed mechanism for the emergence and persistence of
metastable behavior.
