Oscillations in Certain Nonlinear Driven Systems

The development of the theory of nonlinear oscillating systems has given rise to some rather intractable nonlinear differential equations. The formerly used isoclyne method of solution is inadequate for the solution of the equation of the nonlinear system producing relaxation oscillations under the influence of an impressed periodic force. In this paper, using the specific example of a triode oscillator with impressed sinusoidal electromotive force, differential analyzer solutions of the governing diferential equation, are given. A brief study of the phenomena of automatic synchronization and frequency demultiplication is made on the basis of the nonlinear theory.