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Wasn't it Jos leys who wrote:
>Mike Williams <nos### [at] econymdemoncouk> wrote:
>> Wasn't it Jos leys who wrote:
>>
>> With a Strange Attractor, the track neither converges nor diverges. It
>> wanders chaotically within a finite volume.
>
>Sure, you are right, but what if I told you that there may be a way to treat
>this attractor in a similar fashion than a Julia fractal?
I have a suspicion that anything like that would probably end up
describing a rather boring surface.
I also suspect that you might need to track a lot more iterations on
average than you would for a Julia fractal in order to decide whether
the sequence you're tracking is going to converge to the attractor or
drift off to infinity. In the case of a Julia fractal, you only need to
calculate a small number of iterations for the vast majority of starting
points.
However, it might be worthwhile to run a few low resolution
visualizations to have a quick look. Run your calculations for a grid of
points and plot a sphere if the sequence looks like it converges.
--
Mike Williams
Gentleman of Leisure
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