Accession Number : AD0436335


Title :   FORCED OSCILLATIONS IN A CLASS OF SELF-BIASED MULTIMODE OSCILLATORS,


Corporate Author : MICHIGAN UNIV ANN ARBOR COOLEY ELECTRONICS LAB


Personal Author(s) : Bailey,F N


Report Date : Mar 1964


Pagination or Media Count : 48


Abstract : The behavior of a class of multimode oscillators having two nonlinear elements and operating under the influence of an external signal is analyzed using the approximation procedures of Krylov, Bogoliubov and Mitropolsky. Although the features of the basic circuit are chosen to conform to the general characteristics of common selfbiased oscillators, the procedures employed are applicable to a large class of problems involving two nonlinear elements. Through the approximating procedure, the system of nonlinear differential equations describing the basic circuit is replaced by a new, more tractable system of three first-order nonlinear differential equations. Phase space solutions of this approximating system are then used to predict and analyze several interesting features of forced oscillator operation including frequency entrainment, pulling, and superregenerative detection. The results of the theoretical analysis are shown to be in very close agreement with the actual behavior of an experimental oscillator. (Author)


Descriptors :   *OSCILLATORS , MATHEMATICAL MODELS , VOLTAGE , DIFFERENTIAL EQUATIONS , SIGNALS


Distribution Statement : APPROVED FOR PUBLIC RELEASE