Bifurcation in bifurcation from a current-programmed DC/DC boost converter

This paper studies the bifurcation paths exhibited by a DC/DC boost converter under current-programmed control. Previous work in this area has reported two distinct types of bifurcation paths, namely via a region of quasi-periodic orbits and period-doubling. This paper demonstrates that the two different types of bifurcation paths can in fact be viewed as part of another bifurcation in which the quasi-periodic sequence transmutes into the period-doubling sequence. We shall derive the describing iterative map in closed form and use it to develop the main results via a series of computer experiments