Oscillation hysteresis in a two-mass model of the vocal folds
Oscillation hysteresis in a two-mass model of the vocal folds
复制标题
DOI：
10.1016/j.jsv.2004.05.008
复制
发表时间：
2005-04-22
影响因子：
4.7
通讯作者：
Lucero, JC
中科院分区：
文献类型：
--
作者：
Lucero, JC
利用动力系统的定性理论，发声时声带振荡的起始和偏移已通过振荡滞后模型进行描述 [1, 2]。该模型是由极限环的循环折叠分岔（其中生成稳定和不稳定的极限环）与亚临界 Hopf 分岔（其中不稳定的极限环被吸收）的组合构建而成。前者分叉对应于振荡偏移，后者对应于振荡起始。因此，起始点和偏移量发生在不同的分叉处，因此控制参数的值也不同。该模型将解释实验结果，该结果表明语音期间的声音开始和偏移发生在发声系统的不同生物力学配置下。例如，振荡开始时的声门下压力高于振荡偏移时的声门下压力[3]，口内压力较低[4]，气流较低[5]，声门宽度较小[6]。在之前的工作[1, 2]中，通过将Hopf分叉定理[7]应用于声带的简单粘膜波模型[8]，证明了亚临界Hopf分叉的存在。尽管该模型的简单性允许进行定性的理论处理，但它不允许对振荡滞后进行实际模拟。下一步，使用更精细的声带模型来研究振荡滞后将会很有趣。此外，需要根据语音输出参数（例如强度和基频）来研究这种现象。这样的输出参数是
Using the qualitative theory of dynamical systems, the onset and offset of the vocal fold oscillation at phonation has been described by an oscillation hysteresis model [1, 2]. This model is built from the combination of a cyclic fold bifurcation for limit cycles, where a stable and an unstable limit cycle are generated, with a subcritical Hopf bifurcation, where the unstable limit cycle is absorbed. The former bifurcation corresponds to oscillation offset, and the latter to oscillation onset. Thus, onset and offset occur at different bifurcations, and consequently at different values of the control parameter. This model would explain experimental results which show that voice onset and offset during speech occur at different biomechanical configurations of the phonatory system. For example, the subglottal pressure is higher at oscillation onset than at oscillation offset [3], the intraoral pressure is lower [4], the airflow is lower [5], and the glottal width is smaller [6].In previous works [1, 2], the existence of a subcritical Hopf bifurcation was shown by applying the Hopf Bifurcation Theorem [7] to a simple mucosal wave model of the vocal folds [8]. Although the simplicity of this model permitted the theoretical treatment in qualitative terms, it does not allow realistic simulations of the oscillation hysteresis. It would be interesting, as next step, to study the oscillation hysteresis using more elaborated models of the vocal folds. Further, it is desirable to study this phenomenon in terms of voice output parameters such as intensity and fundamental frequency. Such output parameters are