I am writing something for my new (non-commercial) website, which touches upon Chaos Theory. It occurred to me that maybe Flash could be programmed to model a fairly simple example of this, such as the Lorenz Attractor, which uses three variables to produce an inherently unpredictable graph, or the Lorenzian Waterwheel.

A good page depicting both, with example formulas, can be found at:
http://astronomy.swin.edu.au/~pbourke/fractals/lorenz/
Another page with Java Applet illustrating the Attractor can be found at: http://www.cmp.caltech.edu/~mcc/chaos_new/Lorenz.html (I found speed=50 about right)

Not only is the math beyond me, but so to is how to implement it in Flash. But I know there are some real brains here, so haven't given up hope yet...

The least help I'm hoping for is that someone can tell me whether or not it's possible to use Actionscript to model either of those systems [with particular reference to Flash 5].

Medium help would be to give me a pointer to a helpful manual or URL (for simpletons) that I could check out.

Medium+ help would be to give me a clue how.

Maximum help would be - of course - to do the Flash or Actionsript
business for me, if it appears simple enough (to you). At the very least I'd include a credit and a link on what I hope will be a fairly sparky website and not a damp squib, but by all means name your terms...

I am naively hoping the Attractor could be have some sort of user input start values, or that the Wheel could be made into an interactive movie, where the 'water rate' can be dynamically varied.

Comments gladly received!
Thanks.