Recently it has been shown, that the ever-growing operation frequencies of switching power converters (SPC) as well as the complication of feedback circuitry (including the implementation of digital control schemes) highly restrict the possibilities of application of classical linearized models and approaches used for the prediction of stability of these energy conversion circuits. Thus, the current research is dedicated to investigation of possible applications of non-traditional approaches, based on the theory of nonlinear dynamics. It is proved, that the innovative methodologies allow the prediction of stability boundaries of SPC, as well as give more deep insight on the effects of nonlinear phenomena on the main quantitative as well as qualitative characteristics of SPC.