Title: Numberphile: The Feigenbaum constant and bifurcation diagrams Post by: TheRedshiftRider on January 16, 2017, 08:21:37 PM https://youtu.be/ETrYE4MdoLQ
Title: Re: Numberphile: The Feigenbaum constant and bifurcation diagrams Post by: PieMan597 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/ (http://www.fractalforums.com/new-theories-and-research/bifurcations-fractals-discovery/)
Title: Re: Numberphile: The Feigenbaum constant and bifurcation diagrams Post by: TheRedshiftRider on January 16, 2017, 09:47:02 PM Oh.. :embarrass:
I forgot there's a thread about it. Title: Re: Numberphile: The Feigenbaum constant and bifurcation diagrams Post by: Chillheimer 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. Title: Re: Numberphile: The Feigenbaum constant and bifurcation diagrams Post by: PieMan597 on January 18, 2017, 11:47:27 AM https://youtu.be/gaOKAtlukNM
Title: Re: Numberphile: The Feigenbaum constant and bifurcation diagrams Post by: TheRedshiftRider on January 18, 2017, 02:12:47 PM Thats very interesting. Thanks for sharing. |