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Iterating at fixed points of b^x
#11
Daniel Wrote:
bo198214 Wrote:I dont know whether I am the first one who realizes that regularly iterating at a complex fixed point yields real coefficients! Moreover they do not depend on the chosen fixed point!

I don't think that is true, if I understand you.
Yes I withdrawed this assertion (based on an error in my computation) in the preprevious post.

However I numerically verified (hopefully this time without error) that the regular iterations at both *real* fixed points coincide for .

Quote:Just consider the term
in .

Öhm, a bit more explanative?

Quote:As a side note, consider any two fixed points for the same , then the fixed point commute under exponentiation .

Yes, this is clear as which is independent on the order of and .
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Messages In This Thread
Iterating at fixed points of b^x - by bo198214 - 09/08/2007, 10:02 AM
The fixed points of e^x - by bo198214 - 09/08/2007, 10:34 AM
The fixed points of b^x - by bo198214 - 09/08/2007, 11:36 AM
RE: Iterating at fixed points of b^x - by jaydfox - 09/12/2007, 06:23 AM
RE: Iterating at fixed points of b^x - by GFR - 10/03/2007, 11:03 PM
RE: Iterating at fixed points of b^x - by GFR - 01/31/2008, 03:07 PM

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