STOCHASTIC BIFURCATIONS FOR THE RANDOM FORCED OSCILLATIONS
An analysis of the classical Hopf differential system perturbed by multiplicative and
additive noises is carried out. The difference in the response of Hopf systems perturbed by additive
and multiplicative random noises is investigated. A delaying shift of the Hopf bifurcation point induced by
multiplicative noise is demonstrated. The phenomenon of inverse stochastic bifurcation in which
auto-oscillations are suppressed by multiplicative noise is clearly observed.