File:Iterated logistic functions.svg

Summary

Description
English: Five iterations of the logistic map (parameter = 3.5) plotted as a function of their initial argument.
Date
Source Own work
Author Glosser.ca
Other versions File:Logistic map.png

Source

f[x_] := 3.5 x (1 - x)

Plot[
 Evaluate[Table[Nest[f, x, n], {n, 5}]~Join~{x}], {x, 0, 1},
 PlotStyle -> 
  ConstantArray[Thick, 5]~Join~{Directive[Black, Dashed, Thick]},
 Frame -> True,
 FrameStyle -> Black,
 AspectRatio -> 1,
 GridLines -> Automatic,
 GridLinesStyle -> Directive[LightGray, Dashed],
 PlotLegends -> Placed[
   LineLegend[Range[5], LegendLabel -> Placed["Iteration:", Left], 
    LegendLayout -> "Row"],
   Above
   ],
 ImageSize -> Medium
 ]

Licensing

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w:en:Creative Commons
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Category:CC-BY-SA-4.0#Iterated%20logistic%20functions.svg
Category:Self-published work Category:Logistic map Category:Images with Mathematica source code
Category:CC-BY-SA-4.0 Category:Images with Mathematica source code Category:Logistic map Category:Self-published work