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.
@article{arxiv.1407.3782,
title = {Prediction of the dynamic oscillation threshold of a clarinet model: Comparison between analytical predictions and simulation results},
author = {Baptiste Bergeot and André Almeida and Christophe Vergez and Bruno Gazengel},
journal= {arXiv preprint arXiv:1407.3782},
year = {2014}
}
Comments
Stockholm Music Acoustics Conference, Stockholm : Su\`ede (2013). arXiv admin note: substantial text overlap with arXiv:1407.3547