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Attempt to find a limit point but each step needs doubling the precision...
#7
Perhaps a silly question but assuming Gottfried and Jay plot iterations of type sexp^[k](x) for x values near the real line ...

Then why do these contours of iterations not intersect ?

I mean why do we not get contours like here :

http://math.eretrandre.org/tetrationforu...hp?tid=499

Afterall iterations of sqrt(2)^x are just as chaotic as those of exp(x) or not ?

Or does this occur in the white space ?

What happens to secondary and higher fixpoints ... are they the " cut-in's " of the white space / fractal / branch ?

I note that b^x = b^(x+period)

but I do not see that at the plots.

My guess is it ( b^(x+period) is replaced by b^x + period , and this explains some missing contour intersections / merges / discontinuity.

I think f ' (2) / f ' (4) is involved.

EDIT : yes I understand the iterations are of IMAGINARY height and that PARTIALLY explains some things like the circle shapes and locally not intersecting ... but still.

regards

tommy1729
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RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/04/2014, 12:33 AM

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