This article analyzes a mathematical model for some aeroelastic oscillators in phys-iology, based on a previous representation for the vocal folds at phonation. Themodel characterizes the oscillation as superficial wave propagating through the tis-sues in the direction of the flow, and consists of a functional differential equationwith advanced and delay arguments. The analysis shows that the oscillation oc-curs at a Hopf bifurcation, at which the energy absorbed from the flow overcomesthe energy dissipated in the tissues. The bifurcation value of the flow pressureincreases linearly with the tissue damping and the oscillation frequency. Also, it isminimum when the phase delay of the superficial wave to travel along the tissuesis 7r, and increases indefinitely when the delay tends to 0 and to 27r.
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