The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!]

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The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!]

bo198214 Offline

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#13

09/08/2007, 05:06 PM

What I find strange is that it seems that the iterated logarithm of every point in the upper complex half plane tends to the one fixed point in the upper plane, though there are many other attracting fixed points of \( \ln \) in the upper half plane. Similarly for the lower half plane.

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The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/07/2007, 06:42 PM

RE: The fractal nature of iterated natural logarithms - by jaydfox - 09/07/2007, 06:46 PM

RE: The fractal nature of iterated natural logarithms - by jaydfox - 09/07/2007, 06:56 PM

RE: The fractal nature of iterated natural logarithms - by Gottfried - 09/07/2007, 08:15 PM

RE: The fractal nature of iterated natural logarithms - by jaydfox - 09/07/2007, 08:31 PM

RE: The fractal nature of iterated natural logarithms - by jaydfox - 09/07/2007, 06:59 PM

RE: The fractal nature of iterated natural logarithms - by bo198214 - 09/07/2007, 07:44 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/07/2007, 08:21 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/07/2007, 09:13 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/07/2007, 10:47 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by bo198214 - 09/08/2007, 05:06 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/08/2007, 05:39 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/08/2007, 05:15 AM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by Gottfried - 09/08/2007, 08:43 AM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/08/2007, 05:46 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by bo198214 - 09/08/2007, 07:03 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/09/2007, 01:21 AM

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