tetration from alternative fixed point
#14
(07/01/2010, 03:31 PM)sheldonison Wrote: But not the path to the secondary fixed point. For example, consider the path from real=ln(0.5), 0.5, and exp(0.5) to the secondary fixed point (via the i*3pi contour). These are the real values near the maximum of the i*3pi contour, (see graph in earlier post). Here is a graph of the first two.

*nods* This is what I mean that we dont have an initial "plain" region (and I guess regardless how we choose the first curve, the second will always overlap the first or itself). In the best case we have some initial manifold (self overlapping region). But thats in the moment out of my sight how to apply Kouznetsov's method to a manifold.

PS: Dont be shy to upload pictures to the forum. I consider it a long term archive (though a very unsorted yet), while I dont know how long referenced sites would live.
Reply


Messages In This Thread
RE: tetration from alternative fixed point - by bo198214 - 07/02/2010, 07:37 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Down with fixed points! Daniel 1 2,793 04/29/2023, 11:02 PM
Last Post: tommy1729
  Semi-group iso , tommy's limit fix method and alternative limit for 2sinh method tommy1729 1 4,634 12/30/2022, 11:27 PM
Last Post: tommy1729
  Iteration with two analytic fixed points bo198214 62 72,670 11/27/2022, 06:53 AM
Last Post: JmsNxn
Question The Different Fixed Points of Exponentials Catullus 22 25,041 07/24/2022, 12:22 PM
Last Post: bo198214
  Quick way to get the repelling fixed point from the attracting fixed point? JmsNxn 10 13,211 07/22/2022, 01:51 AM
Last Post: JmsNxn
  Apropos "fix"point: are the fractional iterations from there "fix" as well? Gottfried 12 15,322 07/19/2022, 03:18 AM
Last Post: JmsNxn
Question Two Attracting Fixed Points Catullus 4 6,722 07/04/2022, 01:04 PM
Last Post: tommy1729
  Alternative manners of expressing Kneser JmsNxn 1 4,877 03/19/2021, 01:02 AM
Last Post: JmsNxn
  Are tetrations fixed points analytic? JmsNxn 2 11,467 12/14/2016, 08:50 PM
Last Post: JmsNxn
  Derivative of exp^[1/2] at the fixed point? sheldonison 10 37,015 01/01/2016, 03:58 PM
Last Post: sheldonison



Users browsing this thread: 1 Guest(s)