Selfstochastization of oscillations in oscillators described by a nonlinear difference equation, reducible to a secondorder differential equation with a delayed argument
Abstract
The paper examines the characteristics of the transition from regular oscillations to stochastic oscillations in a determinate model of a selfoscillator with delay. It is shown that both periodic and stochastic complex selfoscillations can occur in an oscillator that is described by a nonlinear difference equation which is reducible to a secondorder differential equation with a delayed argument. The type of selfoscillations is primarily determined by the characteristic of the nonlinear element f(x). It is possible to predict the occurrence of selfmodulation and stochastic oscillations on the basis of f(x). In order to generate stochastic signals with extremely developed spectra, the nonlinear element must have a signvariable characteristic of the first harmonic.
 Publication:

Radiotekhnika i Elektronika
 Pub Date:
 December 1982
 Bibcode:
 1982RaEl...27.2457D
 Keywords:

 Oscillators;
 Random Vibration;
 Self Oscillation;
 Stochastic Processes;
 Difference Equations;
 Differential Equations;
 Nonlinear Equations;
 Time Lag;
 Electronics and Electrical Engineering