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Iterating at fixed points of b^x
#23
bo198214 Wrote:However I am not sure in the moment for which area A the first case applies. Surely for each where is the upper fixed point and for all other real .

So then I simply made a fractal of it:
The more green the color is the more iterations does it take that (i.e. the slower it converges to ) and if it needs more than 10 iterations (i.e. probably it does not converge to infinity but to the lower fixed point) then the color is black. I chose , the presented rectangle is , I made it with FractalExplorer.

   

   

   
We see that the convergence to infinity is really chaotic.
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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 bo198214 - 10/04/2007, 05:54 PM
RE: Iterating at fixed points of b^x - by GFR - 01/31/2008, 03:07 PM

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