(Question) 1D Bifurcation chaos

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Offline Mr.Ed

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« on: June 01, 2020, 05:02:46 AM »
I'm using Audulus, a visual programming app for creating sound.

I've made a modulator that uses the bifurcation equation r(x-x^2), alternative to rx(1-x), which is really good for drums. Pics attached.

The chaos knob sweeps though r values (in the patch,"k") 2.9 to 4, scanning the bifurcations.

The Mandelbulbs look very interesting with their different periods, it doesn't look straight forward getting there tho as can see previous related questions. Is there a way to explore Mandel bulbs or a way to simulate more exotic bifurcations?

Linkback: https://fractalforums.org/noobs-corner/76/1d-bifurcation-chaos/3542/
« Last Edit: June 01, 2020, 04:27:32 PM by Mr.Ed, Reason: added alt equation »

Offline gerson

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« Reply #1 on: June 03, 2020, 04:40:21 PM »
If I understood right, you make some music from fractal. Would be nice to post some of then.
vasyan was working with something else:
https://fractalforums.org/other-artforms/20/fractal-sound-synthesis-theory-and-practice/2750/msg18459#new
and another experiment using mandelbrot and sound by sedi
https://fractalforums.org/programming/11/uni-colored-artefacts-in-deeper-zoom-levels/3238/msg18144#msg18144

Offline Mr.Ed

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« Reply #2 on: June 05, 2020, 07:27:44 PM »
Thanks for those links, very interesting.

I've just discovered the bifurcation algorithm and used it in a patch I just posted, to put subtle chaotic changes on a 4*4 rhythm from an "amen break" rhythm generator I made. I haven't got far with chaos as yet.

This is an in-depth audulus livestream, using chaos for a very organic patch.


I find chaos so intriguing, bifurcations for rhythm and would like to understand the maths better to see how to combine chaos with synthesis, harmonics etc. I have much to read up on.
« Last Edit: June 05, 2020, 08:06:18 PM by Mr.Ed, Reason: better discription »


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