A nonperturbative analytical semiclassical approach describing the int
eraction of a quantum system with strong oscillating fields is present
ed, including the limit where the external high-frequency field destro
ys the classical trajectories of a field-free system. Applied to ioniz
ation of a Rydberg atom, our approach allows us to describe the so-cal
led ''interference'' and ''adiabatic'' mechanisms of laser-induced sta
bilization of atomic Rydberg states in a unified way. [S1050-2947(98)5
0208-9].