A semigraphical method of treating lock in oscillators with a fractional - multiple ratio between the frequencies related by means of the resonance circuits is described. Domains of frequency synchronization, the system's frequency characteristics, and regions of in - phase and counter - phase regimes are obtained, and regions that remain stable with respect to a phase criterion are identified. The method proposed for considering mutual synchronization of oscillators may be used to obtain relatively simple analytic expressions by means of which it is possible to obtain a relation between the oscillator operation and various parameters.
Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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