In present paper we consider representation of the solutions of the system of two harmonic oscillators with friction. This model is described by a system of linear differential equations of second order. The phase represent of the system is a family of parabolas singular point at the origin node. At the random perturbations of the "white noise" type of the Ito form along the phase velocity vector makes it system of stochastic Ito equations. The behavior of the solutions of stochastic of two conjugate damped aperiodic harmonic oscillators is investigated. The explicit form of the solutions of the corresponding system of stochastic Ito equations is found. A qualitative analysis of amplitude and phase behavior of the system damped harmonic stochastic oscillators is investigated. It is shown that under certain additional disturbance vector transfer equation stochastic equations, phase trajectories corresponding deterministic equations are invariant surfaces perturbed equation. To the resulting solution Ito stochastic equations constructed various models damped oscillator.