4.5 Article

Modeling of chaotic vibrations in symmetric vocal folds

Journal

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
Volume 110, Issue 4, Pages 2120-2128

Publisher

AMER INST PHYSICS
DOI: 10.1121/1.1395596

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Funding

  1. NIDCD NIH HHS [R29 DC2977] Funding Source: Medline

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The chaos mechanism of above-range phonation was examined in symmetrically modeled vocal folds by using the traditional two-mass model assumption. The Poincare map technique was used to display chaotic attractors. This method provided an effective description of irregular vocal-fold movements. The power spectrum, Lyapunov exponent, and Kaplan-Yorke dimension were employed to describe chaotic vibrations in the vocal-fold model. These nonlinear dynamic analyses suggested that, for the positive Lyapunov exponent, chaotic attractors contribute to irregular vocal-fold vibrations. Descriptions of complicated irregular vibrations of the vocal fold yielded evidence of chaos. To investigate the effects of independent parameters such as subglottal pressure, coupling stiffness, and phonation neutral area, bifurcation diagrams based on the Poincare map were discussed. The results confirmed that the dynamics of the two-mass model was strongly influenced by independent parameters. Nonlinear dynamic methods were expected to provide useful information for better understanding of irregular vocal-fold vibrations as well as of the dynamic mechanism of above-range phonation in excised larynx experimentation. (C) 2001 Acoustical Society of America.

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