in this paper the influence of air flow as a force on the vibration of vocal folds are modeled. in the discussed model, two-mass nonlinear oscillator systems were modeled and response of time, frequency and, displacement-time on two nodes were obtained. additionally, the response of two nodes to the maximum and minimum stress of vocal folds were recorded. the model is extended to three, five, and more mass systems, systems with time variables and three-dimensional systems, but also simplified into one-mass system with coupled two-direction deflection and damping functions. the corresponding mathematical models are the systems of coupled second-order differential equations which describe the vibrations of the symmetric and asymmetric vocal folds. the models give the conditions for the regular and irregular motions like bifurcation and deterministic chaos in vocal folds. the obtained results are of special interest for detecting the pathology of vocal cords, when there are no visual effects of disease.

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