On the detection of period doubling bifurcations in nonlinear feedback systems

In this work the detection of period doubling bifurcations is obtained using a frequency domain approach. The original approach has been applied efficiently in approximating periodic solutions from Hopf bifurcations while in this paper the emphasis is in the prediction of the first period doubling sequence. An application using higher-order harmonic balance approximations (HBA) is shown for the illustration of the technique.