  We studied optical response of microcavity non-equilibrium exciton-polariton
Bose-Einstein condensate with saturable nonlinearity under simultaneous
resonant and non-resonant pumping. We demonstrated the emergence of
multistabile behavior due to the satutration of the excitonic absorbtion.
Stable periodic Rabi- type oscillations of the excitonic and photonic
condensate components in the regime of the stationary pump and their transition
to the chaotic dynamics through the cascade of Hopf bifurcations by tuning of
the electrical pump are revealed.
