Stochastic extension of synchronism time

The possibility of increasing the synchronism time in the case when the resonance detuning is the random function of the wave phase is discussed, autoresonance interaction of relativistic electrons with the circularly polarized wave taken as an example. The effect of the correlation interval finiteness of the relative autoresonance detuning on the power interchange process between the electrons and the wave is studied. Conditions are found under which the stochastization of this detuning rather than the stabilization of its minimum possible value is the efficient way of reducing the harmful effect of the unremovable resonance detuning.<
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