Just a reminder all of this is sitting in this one little equation: \({Z}^{2}+C\)
@freemo \ x_{n+1} = r x_n(1 - x_n) \ is a simple enough population model. Lets try simulating it! Oh no...
@mandlebro @freemo
Did you know you can extend the bifurcation diagram for the logistic map
f: z → az(1-z)
beyond a=4 by solving
f^n(z) = z
for various n. The full picture is that for a>4 you get a repelling Cantor set!
@mandlebro @freemo it’s absolutely beautiful. I don’t understand it - but it’s beautiful 😁
@ErikaDesign It certainly is!
@mandlebro
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@mandlebro @freemo
Did you know you can extend the bifurcation diagram for the logistic map
f: z → az(1-z)
beyond a=4 by solving
f^n(z) = z
for various n. The full picture is that for a>4 you get a repelling Cantor set!