Stability analysis of degenerate Hopf bifurcations for discrete-time systems

作者: J. L. Moiola , E. E. Paolini , M. B. D'Amico

DOI:

关键词: Pitchfork bifurcationHopf bifurcationMathematical analysisNonlinear systemDiscrete time and continuous timeHarmonic balanceMathematicsInvariant (mathematics)Degenerate energy levelsNyquist stability criterion

摘要: | A methodology for the stability analysis of invariant cycles emerging from Hopf bifurcations in discrete-time nonlinear systems is presented. The technique formulated so-called frequency-domain and it based on Nyquist criterion a higherorder harmonic balance method. study planar cubic map included illustration. Keywords| bifurcation, systems, frequency-domain, method, index.

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