A new class of phenomena has recently been discovered in nonlinear dynamics. New concepts and terms have entered the vocabulary to replace time functions and frequency spectra in describing their behavior, e.g. chaos, bifurcation, fractal, Lyapunov exponent, period doubling, Poincaré map, strange attractor etc. The main objective of the paper is to summarize the state of the art in the advanced theory of nonlinear dynamical systems and illustrate its application in power electronics by three examples.Nedavno je otkrivena nova vrsta pojava na području dinamike nelinearnih sustava. Novi pojmovi i nazivi zamijenili su vremenske funkcije i frekvencijske spektre u opisivanju njihovog ponašanja. U rječnik su uvedeni nazivi kao što su: kaos, bifur...