• May 08, 2021, 06:29:55 PM

Login with username, password and session length

Author Topic: (Question) 1D Bifurcation chaos  (Read 243 times)

0 Members and 1 Guest are viewing this topic.

Offline Mr.Ed

  • Fractal Freshman
  • *
  • Posts: 2
(Question) 1D Bifurcation chaos
« 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/index.php?topic=3542.0
« Last Edit: June 01, 2020, 04:27:32 PM by Mr.Ed, Reason: added alt equation »

Offline gerson

  • Fractal Frankfurter
  • *
  • Posts: 592
Re: 1D Bifurcation chaos
« 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:
and another experiment using mandelbrot and sound by sedi

Offline Mr.Ed

  • Fractal Freshman
  • *
  • Posts: 2
Re: 1D Bifurcation chaos
« 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 »

"Time Span"

Started by cricke49 on Fractal Image Gallery

0 Replies
Last post August 02, 2018, 07:05:21 AM
by cricke49
A new style of fractal imagery using fractal neural style transfer

Started by iRyanBell on Fractal Image Gallery

3 Replies
Last post October 03, 2020, 10:50:39 PM
by Jimw338
rendering bifurcation diagrams

Started by claude on Fractal Mathematics And New Theories

11 Replies
Last post December 09, 2018, 08:50:56 AM
by hgjf2
3D mandelbrot set /bifurcation diagram in the complex plane

Started by DeusDarker on Share a fractal

10 Replies
Last post August 20, 2020, 03:03:34 PM
by Caleidoscope
Logistic Map& Bifurcation diagram: Searching for some examples in nature

Started by Fraktalist on Fractal Institute

5 Replies
Last post August 12, 2019, 08:45:06 PM
by Fraktalist