Oscillation threshold of a Raman clarinet with localized nonlinear losses at the open end

Localized nonlinear losses are taken into account in a simple Raman clarinet model. The complete system is expressed as an iterated map, enabling us to study the stability of the different playing regimes. A parametric study is carried out with respect to three major parameters: blowing pressure, embouchure, and nonlinear losses coefficient. The model exhibits the well-known effect of reducing the maximum blowing pressure until the oscillations stop (extinction threshold) when nonlinear losses increase. Furthermore, the stability analysis also shows that increasing nonlinear losses increases the minimal blowing pressure for which the oscillations start (oscillation threshold).