Logistic Equation an Analog Computer

Pic of a komplet run of the LogGl from Klangbaukeoln.

Nown new analog version as modul available.

Look at the schematic.

 

LogGl from Klangbaukeoln

With the schematic it is possible to understand this first order chaotic equation. Front picture shows the graph of it, so called „Feigenbaum diagramm“. After a few bifurkations chaotic parts begin. It has self similar sequences and it is for musical interest. It plays kind of melodies quite different from random stuff. Somtimes it is stabel and later it changes. Picture shows a few runs of it. Look closer to see bifurkations and chaos.

LogGl-2 - KlangbauK

LogGl-2 – KlangbauK

Actual at Muffwiggler is a good describtion and discussion about:

https://www.muffwiggler.com/forum/viewtopic.php?t=137656&highlight=.

Further Links:

https://www.youtube.com/watch?v=ewrxcotQeI0&feature=youtu.be

LogGl in action

http://www.analog-synth.de/synths/logequ/logequ.htm

how to build it

http://www.doepfer.de/home_d.htm

Doepfer at „Patch Examples“ you will find a complex patch to bring LogGl in action, a lot of work, but worth.

At the moment we develope a new analog version with a sophisticated S/H curcuit. I hope it will run stable next time.

Thanks to Dan Slater in ComputerMusicJournal, 1998: 22/2: „Chaos Sound Synthesis“