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Author Topic: Numberphile: The Feigenbaum constant and bifurcation diagrams  (Read 1406 times)
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TheRedshiftRider
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« on: January 16, 2017, 08:21:37 PM »

<a href="http://www.youtube.com/v/ETrYE4MdoLQ&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/ETrYE4MdoLQ&rel=1&fs=1&hd=1</a>
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PieMan597
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« Reply #1 on: January 16, 2017, 09:41:12 PM »

This reminds me of this thread: http://www.fractalforums.com/new-theories-and-research/bifurcations-fractals-discovery/
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TheRedshiftRider
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« Reply #2 on: January 16, 2017, 09:47:02 PM »

Oh..  embarrass

I forgot there's a thread about it.
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« Reply #3 on: January 18, 2017, 11:42:32 AM »

wow. thanks for bringing this to my attention.
I really had a major aha-moment.
Starting at 15:50...
Actually the Bifurcation diagram IS the Mandelbrot-Set in only one dimension, if you leave out the complex plane and just focus on the normal numbers, the x-axis.
I knew the logistic map was strongly connected to the Mandelbrot-Set, but I've never heard it put so clear and obvious.
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« Reply #4 on: January 18, 2017, 11:47:27 AM »

<a href="http://www.youtube.com/v/gaOKAtlukNM&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/gaOKAtlukNM&rel=1&fs=1&hd=1</a>
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TheRedshiftRider
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« Reply #5 on: January 18, 2017, 02:12:47 PM »

Thats very interesting. Thanks for sharing.
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