Abstract
In this paper a numerical method for the detection and computation of degenerate Hopf bifurcation points is presented. The degeneracies are classified and defining equations characterizing each of the equivalence classes are constructed by means of a generalized Liapunov-Schmidt reduction. The numerical computation of the sign of the first Liapunov coefficient which determines the stability of the bifurcating periodic orbits is discussed as well. Numerical experiments are performed for the clamped Hodgkin-Huxley equations.
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