MAKE A MEME View Large Image ...Map BifurcationDiagram.png bifurcation diagram for the Logistic map <math>x_ n+1 rx_n 1-x_n \ </math> The horizontal axis is the r parameter the vertical axis is the x variable The image was created by forming a 1601 x 1001 array ...
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Keywords: LogisticMap BifurcationDiagram.png bifurcation diagram for the Logistic map <math>x_ n+1 rx_n 1-x_n \ </math> The horizontal axis is the r parameter the vertical axis is the x variable The image was created by forming a 1601 x 1001 array representing increments of 0 001 in r and x A starting value of x 0 25 was used and the map was iterated 1000 times in order to stabilize the values of x 100 000 x -values were then calculated for each value of r and for each x value the corresponding x r pixel in the image was incremented by one All values in a column corresponding to a particular value of r 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 r below 3 57 were darkened to increase visibility own PAR 2005-09-14 Bifurcation Logistic map
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