ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

parametric noise

Noise induced parametric instability and stochastic oscillations in the oscillator with nonlinear dissipation

The appearance of the instability of oscillator equilibrium state in a case of noisy modulation of the natural frequency is considered in the work. The threshold of instability and the properties of stochastic oscillations arising over the threshold are studied for the different noise characteristics.

Experimental study of stochastic phenomena in a self­sustained oscillator with subcritical andronov–hopf bifurcation

The effect of noise on the self­sustained oscillator near subcritical Andronov–Hopf bifurcation is studied in numerical and full­scale experiments. Van der Pol oscillator is chosen as base model for investigation. The influence of both additive and multiplicative Gaussian white noise is considered. The regularities of evolution of the probability distribution in the self­sustained oscillator are analyzed with increase of the noise intensity for the cases of additive and parametric noise.