Complex dynamics close to non-resonant double Hopf bifurcation
Analysis and Control of Chaotic Systems, Volume # 1 | Part# 1
Griselda Rut Itovich; Jorge Luis Moiola; Hernan Cendra
Digital Object Identifier (DOI)
differential equations,frequency methods,harmonic balance techniques,stability analysis,Nyquist diagrams
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.
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