COMPLEX DYNAMICS CLOSE TO NON-RESONANT DOUBLE HOPF BIFURCATION

摘要

The interactions between two frequencies in a nonlinear model of resonant coupled electrical circuits are analyzed. This situation is related with the existence of one Hopf degeneracy known as non resonant double Hopf bifurcation. The dynamics of its unfolding is evaluated through the determination of the Neimark-Sacker bifurcation curves, which involve the appearance of quasiperiodic solutions. Moreover, fold and flip bifurcations of cycles have also been detected nearby the singularity using a frequency domain approach.