Problems of nonlinear dynamics of space-charge dominated electron beams in crossed ExB-fields are discussed. The review of the results of computer simulations of an electron clouds formation due to nonlinear azimuthal instability inside magnetically isolated coaxial diodes (magnetron guns) under the condition of strong nonuniform secondary self-sustaining emission and pure thermionic emission is given. Emphasised is the dominant influence of a feedback on dynamics of electron beam modulation and on arising of a leakage current to an anode across an external magnetic field. A scheme of storage and capture of electron beams in crossed EࣾB-fields due to transient processes is proposed.