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With the appearance of superpower laser sources ofrelativistic/ultrarelativistic intensities in the last decade, thelaser-QED-vacuum-matter interaction physics has entered a new phase that makesreal the observation of many nonlinear quantum electrodynamic (QED) andclassical-quantum- mechanical phenomena revealed more than fore-five decadesago, serious advance in new generation of laser-plasma accelerators ofultrahigh energies, nuclear fusion etc. Hence, the present review article willhelp explorers-experimentalists in this field to attract attention on thefundamental properties and peculiarities of the dynamics of induced free-freetransitions at high and superhigh intensities of stimulated radiation fields.In this connection it is of special interest the induced Cherenkov, Compton,undulator/wiggler coherent processes, as well as cyclotron resonance in amedium -- possessing with nonlinear resonances of threshold nature and leadingto many important nonlinear effects or applications, which are considered inthis review.

Relativistic Classical and Quantum Nonlinear Phenomena in the Induced Processes on Free Electrons