  The formation of vortex structures at reflection of electron beam from the
double layer of the Jupiter ionosphere is investigated in this paper. And also
the influence of these vortex structures on the formation of dense upward
electron fluxes, accelerated by the double layer potential along the Io flux
tube is studied. Then a phase transition to the cyclotron superradiance mode
becomes possible for these electrons. The conditions of the vortex
perturbations formation are considered. The nonlinear equation is found that
describes the vortex dynamics of electrons and its consequences are studied.
