  The extended Dicke model describes interaction of the single--mode
electromagnetic resonator with an ensemble of interacting two--level systems.
In this paper we obtain quasiclassical equations of motion of the extended
Dicke model. For certain initial conditions and range of parameters the
equations of motion can be solved analytically via Jacobi elliptic functions.
The solution is a "bound luminosity" state, which was described by the authors
previously for ordinary Dicke model and now is generalized for the case of the
extended Dicke model. In this state the periodic beatings of the
electromagnetic field occur in the microwave cavity filled with the ensemble of
two--level systems. At the beginning of the time period the energy is stored in
the electromagnetic field in the cavity, then it is absorbed by the ensemble of
two--level systems, being afterwards released back to the cavity in the end of
the period. Also the chaotic properties of the semiclassical model are
investigated numerically.
