The van der Pol equation is evaluated as a model for an experiment conducted at Physics International (PI) in which a high power cavity vircator was driven by a relativistic magnetron. It is shown that Adler's Inequality gives a necessary but not sufficient condition to achieve phase locking W e e n the drivlng magnetron and the driven vlrcator oscillations. The amplitude of the entrained oscillations is found as a function of the injected magnetron power, the initial frequency detuning and other system parameters. The stability of these oscillations is examined.Not all entrained states are stable. Boundaries between stable and unstable states are given. It is also shown that the driven oscillator can operate as a "beat wave" source. Predictions are compared to measurements to validate the model. A similar analysis is extended to two coupled van der Pol equations which model the PI, phaselocked relativistic magnetron experiments.* Work supported in part by the Harry Diamond Laboratory.
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