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The locking of two mutually coupled microwave oscillators is considered. The common frequency of oscillation is obtained both without and in the presence of a non-linear reactance. The effect of the non-linear reactance on the locking bandwidth is studied. It is shown analytically that, unlike the common injection locked oscillator case, the locking bandwidth can be either increased or decreased by the non-linearity. The variations in amplitude of oscillations is investigated. It is demonstrated that the total power delivered by the active devices decreases in interinjection locked oscillators.