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Conference hydra::amiga_v1

Title:AMIGA NOTES
Notice:Join us in the *NEW* conference - HYDRA::AMIGA_V2
Moderator:HYDRA::MOORE
Created:Sat Apr 26 1986
Last Modified:Wed Feb 05 1992
Last Successful Update:Fri Jun 06 1997
Number of topics:5378
Total number of notes:38326

5065.0. "Lyapunov space" by STAR::GUINEAU (but what was the question?) Mon Sep 23 1991 10:17

Has anyone read the Mathematical Recreations column in last months 
Scientific American (Sep 1991)?

They describe Lyapunov space. This is yet another chaos representation whose
images look very interesting. They present an outline of the algorithm for 
generating these images, but are rather vague on a couple points.

I've tried various interpretations to little or no avail.

If anyone has read this column, could you give me your interpretation of the 
algorithm?  I'll post any code I get working (warning: it takes over 3 hours
to generate a 320x200 image on a 28MHZ 68030/882 using strait 881 FPU 
instructions!)

john
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5065.1Is that like Lyar's dice?SDOGUS::WILLIAMSTOPGUNTue Sep 24 1991 16:2810
    JOHN,
    There was an example uploaded to CompuServe of Lyapunov space.  I'll
    try to find it and upload it for you.  There is a screen blanker
    available for WB2.0 which purports to use Lyapunov space to generate
    its screen images (it is fairly fast and it is not a complete Lyapunov
    space image).  I think it is called FRACT.LZH.  I'll look for that as
    well.
    
    Clark
    
5065.2blind spotSTAR::GUINEAUbut what was the question?Tue Sep 24 1991 17:2016
I got lots of info from the alt.fractals (usenet) news group.

I actually had the program coded corectly, but was feeding "improper" ranges
of parameter values (this is what was vague in the SA article!) annd expecting
to get the images they had in the article. I have since gotten many
interesting images. 

I'm adding functionality and cleaning things up at this point. I'll shoot
for posting something this weekend (If no strange attractors get me otherwise 
that is :-) )

Right now I just generate 24 bit DigiView "IP" files and let DigiView do the 
image processing (what a program!).

john