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We study locking of the oscillation frequency of the operating TE 28,12 mode by an external monochromatic signal in a multimode gyrotron operated at a frequency of 170 GHz in the switchon regime close to the real one. Locking zones, i.e., regions of single-mode generation at the external-signal frequency are found on the "current-detuning" plane of parameters. It is shown that as the number of competing modes increases, the maximum achievable current decreases, and the locking zones contract at sufficiently high currents.

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