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 Forum index » Clavia Nord Modular » G2 Patches - Experimental
Lorentz thingy
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Blue Hell
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Joined: Apr 03, 2004
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PostPosted: Sat Feb 26, 2005 10:41 am    Post subject: Lorentz thingy Reply with quote  Mark this post and the followings unread

On some other thread I spotted someone with an interesting sig:

Code:
     

      dx/dt = delta * (y - x)

      dy/dt = r * x - y - x * z

      dz/dt = x * y - b * z


Which turned out to be a Lorentz attractor thingy, more info about this can be found at :

http://www.enseeiht.fr/hmf/travaux/CD9899/travaux/optmfn/hi/99pa/hydinst/report03.htm

The attached patch is an implementation of this sig applied to some simple bleeps.

To start the process with a random seed the button on the red module must be clicked. When the pattern gets boring another click will start some other sequence. Diffent values can be set for the delta, ra nd b parameters, this is a bit critical - you might want to try to change the integration constants as well in the F(d/dt) modules.

Jan.


lorentz.pch2
 Description:
An implementation of the Lorentz attractor.

Download
 Filename:  lorentz.pch2
 Filesize:  2.19 KB
 Downloaded:  1125 Time(s)

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Blue Hell
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PostPosted: Sat Feb 26, 2005 4:39 pm    Post subject: Reply with quote  Mark this post and the followings unread

And a Rossler thingy, from the same url I mentioned above.

This one uses :

Code:

      dx/dt = -y - z

      dy/dt = x + Ay

      dz/dt = B + xz - Cz


It's different, and harder to get interesting things out.

Jan.


Rossler.pch2
 Description:
Rossler attractor

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 Filename:  Rossler.pch2
 Filesize:  2.51 KB
 Downloaded:  1065 Time(s)

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Blue Hell
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PostPosted: Sat Feb 26, 2005 5:11 pm    Post subject: Reply with quote  Mark this post and the followings unread

And a slightly more interesting example of the Lorentz patch.

I added some knob assignments for easier control for keyboard owners, the Rossler patch has the same knob assignments btw.

jan.


lorentz.pch2
 Description:
A slightly more interesting Lorrentz example

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 Filename:  lorentz.pch2
 Filesize:  2.57 KB
 Downloaded:  1097 Time(s)

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inversekinematics



Joined: Feb 12, 2005
Posts: 29
Location: Sweden
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PostPosted: Sat Feb 26, 2005 5:37 pm    Post subject: Reply with quote  Mark this post and the followings unread

Blue Hell wrote:
And a slightly more interesting example of the Lorentz patch.

I added some knob assignments for easier control for keyboard owners, the Rossler patch has the same knob assignments btw.

jan.


sweet! very cool Smile

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(dx/dt=delta*(y-x))(dy/dt=r*x-y-x*z)(dz/dt=x*y-b*z)
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Blue Hell
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PostPosted: Sat Feb 26, 2005 6:38 pm    Post subject: Reply with quote  Mark this post and the followings unread

Ah there is the sig I meant, I somehow knew I'd get you into my strange attractor :-)

(delta, r, b) = ( 54, 43, 36) gives a very nice pattern, had it running for quite a while now. And meanwhile I've been looking for interesting four dimensinal sets of non linear differential equations having strange attractors - do you happen to have any references ?

Jan.

ps: a nice introduction I think, and very readable, is : http://amath.colorado.edu/faculty/jdm/faq.html
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inversekinematics



Joined: Feb 12, 2005
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Location: Sweden
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PostPosted: Sat Feb 26, 2005 7:02 pm    Post subject: Reply with quote  Mark this post and the followings unread

Blue Hell wrote:
Ah there is the sig I meant, I somehow knew I'd get you into my strange attractor Smile

(delta, r, b) = ( 54, 43, 36) gives a very nice pattern, had it running for quite a while now. And meanwhile I've been looking for interesting four dimensinal sets of non linear differential equations having strange attractors - do you happen to have any references ?

Jan.

ps: a nice introduction I think, and very readable, is : http://amath.colorado.edu/faculty/jdm/faq.html


i used to develop flash sites with those equations, www.logotype.se, but the webserver is not online right now due to re-install... but i'll let ya know when its up again... would really like to use that patch/export sound... would be cool to have a realtime flash app, with sound (not realtime sound tho)

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(dx/dt=delta*(y-x))(dy/dt=r*x-y-x*z)(dz/dt=x*y-b*z)
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Blue Hell
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PostPosted: Sat Feb 26, 2005 8:00 pm    Post subject: Reply with quote  Mark this post and the followings unread

inversekinematics wrote:
but i'll let ya know when its up again... would really like to use that patch/export sound... would be cool to have a realtime flash app, with sound (not realtime sound tho)


Please do eagarding letting me know, and please do regarding flash app & sound as well.

Jan.
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Kassen
Janitor
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Joined: Jul 06, 2004
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Location: The Hague, NL
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PostPosted: Sun Feb 27, 2005 3:34 am    Post subject: Reply with quote  Mark this post and the followings unread

Can´t flash output midi these days too? That would pave the way for a n.dimentional "noodlesequencer" with a "timeline" that would turn and twist over the schreen.
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mosc
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PostPosted: Mon Feb 28, 2005 12:54 pm    Post subject: Reply with quote  Mark this post and the followings unread

This is very very cool. Cool

I'm trying to catch up on posts after being away for 2.5 days. I'm going to come back to this. Thanks, Jan. I dig this.

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Blue Hell
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Joined: Apr 03, 2004
Posts: 20622
Location: The Netherlands, Enschede
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G2 patch files: 318

PostPosted: Mon Feb 28, 2005 1:24 pm    Post subject: Reply with quote  Mark this post and the followings unread

Already thought you would like this Howard, but be warned it's not really easy to get nice things out - percussive might be the way go.

I didn't feel sure enought to post this to the snippets section - I mean the request you posted a while ago for chaos patches.

Anyway, hope you enjoyed your holiday :-)

Jan.
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JLS



Joined: Nov 05, 2005
Posts: 426
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PostPosted: Sun Apr 29, 2007 5:24 am    Post subject: Reply with quote  Mark this post and the followings unread

Basic Lorenz attractor

same like BlueHells algo but other patching ( self clock system )

Smile


Lorenz.jpg
 Description:
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Lorenz.jpg



Basic-Lorenz.pch2
 Description:

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 Filename:  Basic-Lorenz.pch2
 Filesize:  2.21 KB
 Downloaded:  702 Time(s)


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