File:Iterated logistic functions.svg

Original file (SVG file, nominally 449 × 485 pixels, file size: 139 KB)

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
 ]

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w:en:Creative Commons
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13 May 2016

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Date/TimeThumbnailDimensionsUserComment
current22:56, 13 May 2016Thumbnail for version as of 22:56, 13 May 2016449 × 485 (139 KB)RayhemShrank box to balance text size
22:49, 13 May 2016Thumbnail for version as of 22:49, 13 May 2016719 × 755 (145 KB)RayhemDarkened frame
22:49, 13 May 2016Thumbnail for version as of 22:49, 13 May 2016719 × 755 (146 KB)RayhemUser created page with UploadWizard

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