An investigation is made of nonlinear oscillations of the field and current
in semiconductor superlattices driven by strong terahertz radiation. Regim
es of periodic, quasi-periodic, and stochastic self-oscillations are determ
ined and mechanisms for their formation are discussed. It is shown that the
self-oscillation spectra are many-valued functions of the external field a
mplitude and the static field in them is either absent, weak, or fractional
ly quantized. Previously predicted states of self-induced superlattice tran
sparency and dynamic electron localization are destroyed as a result of the
evolution of dissipative and parametric instabilities and can only be obse
rved in transient processes whose duration decreases with increasing electr
on concentration. (C) 2000 MAIK "Nauka/Interperiodica".