Hi all, this video is my entry for Summer of Math Exposition 3.
References:
Veritasium Video: • This equation will cha...
3D Bifurcation Gif: github.com/jonnyhyman/Chaos
Logistic Map: mathworld.wolfram.com/Logisti...
Feigenbaum Constant: • The Feigenbaum Constan...
mathworld.wolfram.com/Feigenb...
Further Reading on when the Feigenbaum Constant applies:
mathworld.wolfram.com/Schwarz...
demonstrations.wolfram.com/Th...
Corrections: The tent map is x•min(x,1-x), not x•min(x,x-1)
Another great video exploring the relationship between the Mandelbrot Set & the logistic map:
• Relationship between M...
Chapters:
0:00 Intro
00:31 Bifurcation Diagram
02:20 Mandelbrot Set
04:52 3D Bifurcation Gif
05:14 Building a 3D Bifurcation Diagram
07:48 Recap
08:45 Logistic Map Fractal
09:32 Logistic Map 3D Bifurcation Diagram
10:09 Feigenbaum Constant
12:00 Outro
Негізгі бет Is the Logistic Map hiding in the Mandelbrot Set? |
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