Chaos, fractals and atom flights in resonators

The semiclassical study on the nonlinear dynamics of interaction of the two-level atoms with the standing wave field in the high-quality resonator is carried out. The local dynamic instability of the strongly bound atom-field system originates due to the atoms motion or the wave amplitude modulation. The origination of the Hamiltonian dynamics chaos, fractals and the Levy flight is demonstrated in the models of two experimental facilities: the micromaser with the Rydberg thermal atoms and the microlaser with cold normal atoms. The possibility of observing the manifestation of the classic chaos, atomic fractals and flight is indicated in the course of the numerical experiments