A paper reprinted from the June 1946 issue of the PROCEEDINGS OF THE IRE.Absfracf--Impreseion of an external signal upon an oscillator of similar fundamental frequency affects both the inetantaneow amplitude and instantaneorrs frequency. Using the assumption that time constants in the osdtlator circuit am small compared to the length of one beat cycle, a Merential equation is derived which gives the osdllator phase as a function of time. W i t h the aid of this equation, the transient process of "pull-in" as well as the production of a distorted beat note are described in detail.It is shown that the same equation serves to describe the motion of a pendulum suspended in a viscous fluid inside a rotating contsiaer. The whole range of locking phenomena is illustrated with the aid ob this simple mechanical modeL T

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