The method of parametric decomposition. Basic subsystems and their state space

The method of parametric decomposition is focused on exact methods of the perturbed nonlinear systems' study. The method allows research into the behavior of many-dimensional nonlinear systems through the study of the behavior of the basic subsystems, no higher than the 2nd order, performing rigorous analysis. Investigation of the basic subsystems is proposed using the point transformation method in two-sided phase plane and into complex phase space.