[chaoscope] Re: [image] Double Spiral (Follow on after Bug Report)
- From: Chaoscope <chaoscope@xxxxxxxxxxxxxx>
- To: chaoscope@xxxxxxxxxxxxx
- Date: Tue, 03 Aug 2004 01:04:53 +0100
Hi Anton, hello all,
OOPS Egg in the face I forgot about P8
Polynomials aren't of the chaotic flow form (i.e. x' = x + dT(f(x)) ) like
Lorenz and Rossler.
I see this differently, in numeric computing the above differential equation is
a special case of the general Polinomial. For the rossler below,
p5=p8=-dT
p11=dT and p15=dT*a
p20=b*dT p27=-c*dT P28=dT
and all the others being 0
therefore Sprott is the universal formula and Lorenz and Rossler are special cases.
I wouldn't argue with you, I'm terrible with maths, but I can see a few
subscribers dying to know more about differential equations. Calling your
attractor a Rossler is stretching the envelope a bit too far. It's not in the
ballpark anymore. In your case P5 is different from P8, which is different from
P11 and so on. With Rossler and Lorenz, dT is one time unit constant.
I set P8 to -12 and see the result,
actually I am looking forward to plugging my own formulas in the future.
I have some ideas which I would like to try out.
How long the wait?
I don't think we'll see an integrated equation compiler in Chaoscope before the
next decade or so. The equation plugin SDK will come first, and you'll need a
Windows C compiler like Borland's or Microsoft's which are both available for
free. There'll be very little for you to do apart from describing the parameters
and coding the equation.
Nicolas Desprez
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