We consider a mesoscopic maser, in which a beam of excited two-level R
ydberg atoms interacts with a single radiation mode during propagation
through a resonant cavity. The number of atoms in the cavity ranges f
rom a few tens to a few hundreds. Steady-state and nonlinear dynamics
are investigated both with and without a coherent driving field. At st
eady state, atomic cooperation can induce multistability and temporal
instabilities. A novel type of bistability is predicted for the amplit
ude of the coherently driven cavity held as a function of atomic densi
ty. The system dynamics exhibits a variety of regimes, including chaos
. We have explored them by varying the experimentally accessible param
eters: atomic density, cavity linewidth and driving field amplitude.