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132: 38: 413: 1119: 379: 94: 780: 307:) were then multiplied by the number of non-zero pixels in that column, in order to even out the intensities. Values above 250,000 were set to 250,000, and then the entire image was normalized to 0-255. Finally, pixels for values of 1114: 259: 1124: 861: 856: 1238: 1184: 894: 969: 1253: 871: 866: 139: 1134: 438:
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pixel in the image was incremented by one. All values in a column (corresponding to a particular value of
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variable. The image was created by forming a 1601 x 1001 array representing increments of 0.001 in
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386: 984: 425: 994: 1179: 567: 283:=0.25 was used, and the map was iterated 1000 times in order to stabilize the values of 1247: 183: 100: 1089: 1084: 811: 954: 1039: 320: 1014: 459: 1164: 1029: 1194: 1104: 1094: 944: 904: 401:, without any conditions, unless such conditions are required by law. 1219: 797:
Bifurcation diagram for the logistic map for parameter r=2.4 to 4.0.
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253: 985:Fractals/Iterations of real numbers/r iterations 311:below 3.57 were darkened to increase visibility. 93: 8: 995:Discrete-time dynamical system orbit diagram 872:Portal:Mathematics/Featured picture archive 867:Portal:Mathematics/Featured picture/2011 12 749: 483: 397:I grant anyone the right to use this work 353: 887:The following other wikis use this file: 254:{\displaystyle x_{n+1}=rx_{n}(1-x_{n})\,} 240: 221: 199: 193: 434:. 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This applies worldwide. 330: 299:value, the corresponding 16: 1195:Bifurkacija (matematika) 1095:Diagramme de bifurcation 945:Bifurkation (Mathematik) 832:Talk:Bifurcation diagram 775:00:11, 14 September 2005 476: 456:Vector version available 442:vector version available 99:This is a file from the 1220:Differentievergelijking 796: 336: 326: 319: 316: 165: 103:. Information from its 1105:Utilisateur:RM77/Maple 1035:Teemasivu:Matematiikka 895:قائمة الثوابت الرياضية 279:. 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File:LogisticMap BifurcationDiagram.png
800 × 566 pixels
320 × 226 pixels
640 × 453 pixels
1,024 × 724 pixels
1,280 × 905 pixels
1,838 × 1,300 pixels
Original file
Wikimedia Commons
description page there
You can help
Mathematics icon
picture of the month
Mathematics Portal
bifurcation diagram
Logistic map
PAR
public domain
vector graphics
SVG
Commons:Media for cleanup
vector version available
Vector version available
Vva
depicts
creator

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