Approximate Method of Defining Laws of Distributing Phase Coordinates of Nonlinear Automatic Systems

There is suggested an approximate method of defining the monodimensional laws of distributing the phase coordinates of nonlinear automatic systems. The,method is based on the substitution of a multidimensional system by a monodimensional system, the output variable of which possesses the same law of distribution as one of the variables of the initial system. To define the law of distributing the output variable of a monodimensional system the expansion of the nonlinear functions included in the system differential equation into the statistically equivalent series is suggested. Thus the problem is reduced to the investigation of a system of ordinary differential equations.