17
Oct
02

Bifurcation Diagram (Feigenbaum Fractal)

Bifurcation Diagram (Feigenbaum Fractal) This fractal is based on the logistic equation: xn+1 = a xn (1 – xn)
(* runtime: 1 minute *)
Logistic[x_] := a x (1 - x); plist = {};
Do[x = 0.25; Do[x = Logistic[x], {100}]; Do[x = Logistic[x]; plist = Append[plist, {a, x}], {100}], {a, 2.8, 4, 10^-2}];
ListPlot[plist];

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1 Response to “Bifurcation Diagram (Feigenbaum Fractal)”


  1. 1 Ben
    February 15, 2010 at 5:59 pm

    how would I go about plotting this on a TI 84?


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