quasi­harmonic approximation

THE STUDIES OF THE ARISING OF OSCILLATIONS IN THE QUASI­HARMONIC MODEL OF THE SELF­SUSTAINED OSCILLATORY MEDIUM UNDER MULTIPLICATIVE NOISE EXCITATION

The multiplicative noise influence on the self­sustained oscillatory medium near the oscillation threshold is studied. The chain of the identical quasi­harmonic self­sustained oscillators with the periodic boundary conditions is taken as a simplest model of the oscillatory medium. The parameters of the oscillators are modulated with the white Gaussian noise. The stochastic bifurcations are analyzed for the cases of homogenous and spatially­nonhomogenous noise.