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.
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