Birth and death patterns of large limit cycles in PWM boost converter

Long time and large amplitude limit cycles are among the possible dynamics in pulse width modulated DC-DC converters. They can be present when the parameters of the system are closed to the parameter set which undergoes the Hopf bifurcation. The birth or death of these large cycles is related not only to the loss of the stability of the usual operating cycle, which is synchronised with the modulating signal, but also to the bounds of the ideal switched system. The analysis is made taking into account the behaviour of the saddle stable manifold, which is strongly influenced by border collision bifurcations due to reaching the modulation bounds or if the inductor gets zero current (DCM).