A first draft attempt to convert the logistic map bifurcation diagram to sound.  The logistics map is f(x)=4Ax(1-x) where A is a real parameter between 0 and 1.  In this draft, the value of A is associated with time: as time goes forward, A ranges from 0.65 to 1 (in general for the logistics map it is reasonable to consider A from 0 to 1, but the sound is very simple and changes slow for A less than 0.65, so I've left that out).  For each A value, many x values are chosen and many iterations of f(x) are applied; the end result is used to calculate a frequency (linearly determined between 100 and 4100 hz) for a sound event at the time corresponding to the A value.

first draft: sound from logistic map bifurcation diagram

A math person making and modifying sounds with custom code, Csound, homemade electronics.

first draft: sound from logistic map bifurcation diagram

Matthew M. Conroy