i’m looking for a way to create a chaotic signal (as in audio rate), preferably with a power spectrum varies on time-scales of the order 1 second.
I use chaos in the technical sense of the logistic map, etc. In order to be practical, the signal should be bounded, making the logistic map a good candidate.
I tried implementing a logistic map (next = a*prev*(1-prev) for a between ~3 and 4) with tapin/out but couldn’t figure out how to inject exactly one vector of noise into the feedback loop. I’m not sure that this would have the sound i’m after, anyway.
I tried messing around with it, I added a tanh~ to enforce the -1, 1 bound and a highpass filter to block fixed points, which is interesting, but tends toward limit cycles very quickly (or noise). Adding a second delay of different length increased the decay time significantly, but it still basically goes to a limit cycle.
André Sier’s A-Chaos lib is the obvious place to look.
There are also a few chaotic signal generators in Litter Power. You can grab the free Starter Pack to take a look, although for your purposes the more interesting objects are probably in the Pro Bundle.
You’ll find a few other objects at maxobjects.com.