Re: "Higher order" bifurcation of discrete map

On Jun 8, 7:35 am, "I.N. Galidakis" <morph...@xxxxxxxxxxxx> wrote:
mike3 wrote:

[snip]

http://ioannis.virtualcomposer2000.com/math/hyperpower.html

Well this is fine for a complex map, but what about a purely real one
on the
real line?

Trivially, "yes". Just take the maps:

f(x) = Re(c^z) or
g(y) = Im(c^z)

If you want a totally trivial example, just pick 3 separate sequences, agreeing
for n < n_0, but converging to 3 different limits for n > n_0, and arrange them
appropriately. I can't be bothered to actually construct the example, but I
think it's clear what I mean.

That doesn't look like a map you can iterate on the real number line.

.

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