  Simple models of clarinet instruments based on iterated maps have been used
in the past to successfully estimate the threshold of oscillation of this
instrument as a function of a constant blowing pressure. However, when the
blowing pressure gradually increases through time, the oscillations appear at a
much higher value than what is predicted in the static case. This is known as
bifurcation delay, a phenomenon studied in [1] for a clarinet model. In
numerical simulations the bifurcation delay showed a strong sensitivity to
numerical precision.
