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Bifurcations in a vocal fold model
Authors:Hanspeter Herzel  Carsten Knudsen
Affiliation:(1) Department of Physics, Humboldt University, Invalidenstraße 42, 10115 Berlin, Germany;(2) Physics Laboratory III, The Technical University of Denmark, DK-2800 Lyngby, Denmark
Abstract:An autonomous fourth order model of vocal fold vibrations is proposed. Each fold is represented by a lower and upper mass, and the aerodynamic forces are derived from a modified Bernoulli equation. The model exhibits many features of normal phonation in a wide parameter region. At the borderlines of this region coexistence of limit cycles, period-doubling and chaos are observed. Implications for an understanding of pathological voices are discussed.
Keywords:Vocal fold  two-mass model  bifurcations  voice pathologies
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