Dynamics of the two-mass model of the vocal folds: Equilibria, bifurcations, and oscillation region

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Abstract
The dynamics of the large‐amplitude oscillation of the vocal folds is analyzed using the two‐mass model. First, the equilibrium positions are determined in the case of a rectangular prephonatory glottis, and the existence of two equilibrium positions besides the rest position is shown. Their stability is examined and a bifurcation diagram is derived with a normalized subglottal pressure and a coupling coefficient as control parameters. Phase plane plots are shown to illustrate the results. The cases of convergent and divergent prephonatory glottis are then briefly considered. The main results are finally discussed relative to previous analytical works; it is shown that they disprove the previous oscillation theory based on the existence of a glottalnegative differential resistance.
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