Recent

Author Topic: 3D Lorenz Attractor Curves  (Read 641 times)

Boleeman

  • Hero Member
  • *****
  • Posts: 563
3D Lorenz Attractor Curves
« on: June 21, 2024, 12:39:39 pm »
The Lorenz equation was published in 1963 by a meteorologist and mathematician from MIT called Edward N. Lorenz. The Lorenz Attractor is a system of differential equations first studied by Edward Lorenz that is notable for having chaotic solutions under certain parametric values. It is a set of chaotic solutions which, when plotted, resemble a butterfly or figure eight.

I tried to convert some Vb6 code that makes a 3D Lorenz Curve.
Not really getting the nice smooth curves.
The rings don't seem to be round and multiples like in lorenz 4 types.png


A nice rotatable version is at:
https://sketchfab.com/3d-models/lorenz-attractor-9ecff933b23b4225b1c5a7ba0c2670d4

Some info on the parameters to use is here:
https://paulbourke.net/fractals/lorenz/

I wanted to try to get the curves looking like those in lorenz 4 types.png




« Last Edit: June 21, 2024, 12:56:17 pm by Boleeman »

Thaddy

  • Hero Member
  • *****
  • Posts: 15120
  • Censorship about opinions does not belong here.
Re: 3D Lorenz Attractor Curves
« Reply #1 on: June 21, 2024, 12:43:14 pm »
Have you found my old Lorenz curve code? If not I have to find it.
I wrote it for a completely different subject, but the maths are ok. I wrote it to simulate tape flutter for audio: yes, that is the same! maths, just a different application.
« Last Edit: June 21, 2024, 12:47:52 pm by Thaddy »
Of course the national anthem of the U.S.A. was written by Jimi Hendrix, didn't you know that?

Boleeman

  • Hero Member
  • *****
  • Posts: 563
Re: 3D Lorenz Attractor Curves
« Reply #2 on: June 21, 2024, 12:52:18 pm »
If you could possibly find it, that would be nice Thaddy.

The curve seems quite interesting. Seen different versions on github and a free photoshop plugin at:
https://richardrosenman.com/shop/lorenz-attractor/


Just Now found some W32 Delphi code with animate option:

https://specials.rejbrand.se/chaos/lorenz/

« Last Edit: June 21, 2024, 04:09:19 pm by Boleeman »

Thaddy

  • Hero Member
  • *****
  • Posts: 15120
  • Censorship about opinions does not belong here.
Re: 3D Lorenz Attractor Curves
« Reply #3 on: June 21, 2024, 04:40:10 pm »
That code contains actually two types of chaotic systems, one is Lorenz.
It is in the musicdsp pdf, Not on the website. To be sure, I will post it later.
Maybe the other one can also be visualized, they are related.
Lorenz causes tape flutter, the other one causes spikes, like 78 rpm records when applied to audio.
« Last Edit: June 21, 2024, 04:44:05 pm by Thaddy »
Of course the national anthem of the U.S.A. was written by Jimi Hendrix, didn't you know that?

 

TinyPortal © 2005-2018