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.