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The complex non resonant double Hopf degeneracy: An alternative approach

Jorge Luis Moiola
The analysis of the complex non resonant double Hopf bifurcation is carried out by two complementary techniques:
the frequency domain methodology and the normal form theory. Neimark-Sacker branches, which are originated at the singularity, are built precisely, thanks to the evaluation of Floquet multipliers of the nearby limit cycles. The quasianalytical expressions of these solutions are obtained through the graphical Hopf theorem and higher order harmonic balance, which guarantees the accuracy of the results. The outcomes have been contrasted with LOCBIF software.
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