Beschreibung:
<jats:p>The physical processes leading to sound generation in reed instruments can be represented as an interaction between the linear sound propagation in the tube and the strongly nonlinear dependence between flow rate and pressure in the mouthpiece. Considering the model equations of this system as a function of the fraction ε = E/E0, E0 being the energy introduced into the tube and E being the energy reflected at the end of the tube, one finds bifurcational behavior for the sound pressure in the passive range (|ε| ⩽ 1). In the active range (|ε| &gt; 1) the bifurcations continue, leading eventually to chaos. This behavior is also dependent on the shape of the reflection function; for very narrow ones the model equations simplify to a one-dimensional iterated map that can be treated rather easily. The types of bifurcations occurring here as well as typical quantities (Lyapunov exponents, etc.) will be analyzed; similarities and differences between this model and experiments carried out will be discussed.</jats:p>