Projection-iterative procedures for approximation of forced oscillations in nonlinear systems

Results on problems of approximation of complicated nonlinear systems regimes and special numeric procedures are described. We study some applications of iteration and projective theory to the problems of approximate construction of oscillation regimes for nonlinear systems, particularly, automatic control systems. We introduce a routine for initial approximation selection in the iteration method. This routine uses a priori information about the oscillation regime we search for.