A second version.   Converting 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 0.7 to 1 (in general for the logistics map it is common to consider A from 0 to 1, but the sound is very simple and changes slowly for A less than 0.7, 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.

Compared to the first draft, this has a shortened "intro" (since A starts at 0.7 instead of 0.65), the pan position is determined by the frequency, and the range of frequencies is smaller (the high frequency in this version is less than in the first draft).  Also, the more chaotic things are, the louder the sound is.

sound from logistic map (second version)

TRAMPELFÂD
Laboratory for Contemporary Electronic Experimental Music
 ( LCEEM ® )  founded    by Max Elzholz
https://www.youtube.com/@trampelfad

 
https://trampelfad.bandcamp.com

and

https://maxelzholz.bandcamp.com

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

sound from logistic map (second version)

Matthew M. Conroy