Cyclotron and Cherenkov resonant interactions between a radially confined electron beam spiraling in a magnetoplasma and a quasi-monochromatic lower hybrid wave are considered. The main physical process consists of the nonlinear self-organization of part of the beam electrons, forming dynamically stable bunches that are continuously decelerated or accelerated while keeping resonance with the emitted wave. For the Cherenkov and anomalous Doppler resonances, such bunches exist during an infinitely long time; the main difference between both cases is that, for the cyclotron resonance, the gain of energy supplied by the longitudinal motion of the beam electrons is mainly spent to increase their perpendicular energy, and only a small part of it, proportional to the ratio of the wave frequency to the electron gyrofrequency, is given for wave radiation. For the normal Doppler resonance case, electron bunches also appear during the nonlinear wave-particle evolution. However, electrons lose perpendicular energy and are accelerated along the longitudinal direction. As formed bunches do not have a high stability, the interaction of the beam electrons with the wave weakens rather quickly, whereas the wave radiation decreases as a function of the distance from the injector.