Bifurcations in an asymmetric vocal-fold model

Ina Steinecke, Hanspeter Herzel

The Journal of the Acoustical Society of America · 1995 · 337 citations · 0 references

Concepts

TL;DR

A two‑mass vocal‑fold model is analyzed with nonlinear‑dynamics methods, characterizing attractors by phase portraits, spectra, and next‑maximum maps. Bifurcations to subharmonic regimes, toroidal oscillations, and chaos arise in physiologically relevant parameter planes when left‑right tension imbalance is large, highlighting implications for voice disorders such as laryngeal paralysis.

Abstract

A two-mass model of vocal-fold vibrations is analyzed with methods from nonlinear dynamics. Bifurcations are located in parameter planes of physiological interest (subglottal pressure, stiffness of the folds). It is shown that a sufficiently large tension imbalance of the left and right vocal fold induces bifurcations to subharmonic regimes, toroidal oscillations, and chaos. The corresponding attractors are characterized by phase portraits, spectra, and next-maximum maps. The relevance of these simulations for voice disorders such as laryngeal paralysis is discussed.