The chaotic behavior of high-field transport in weakly-coupled narrow-
miniband GaAs/AlAs superlattices (SL) under ac + dc biases has been nu
merically studied within a self-consistent discrete model. It is shown
that the regions of entrainment and quasiperiodicity form the Arnol'd
tongues on the driving frequency-driving amplitude parameter plane. C
haos is demonstrated to appear at the boundaries of the tongues and in
the regions where they overlap. Numerical simulation shows that ac dr
iving can lead to chaos for different regimes: (i) when the electric-f
ield domains in the SL are stable; and (ii) when they are unstable (pe
riodically oscillating). (C) 1998 Academic Press Limited.