Image:TentMap BifurcationDiagram.png

[edit] Summary

Bifurcation diagram for the tent map. The horizontal axis is the μ parameter, the vertical axis is the x variable. The image was created by forming a 1000 x 1000 array representing increments of 0.001 in μ 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 μ and for each x value, the corresponding (x,μ) pixel in the image was incremented by one. All values in a column (corresponding to a particular value of μ) were then multiplied by the number of non-zero pixels in that column, in order to even out the intensities. Finally, values above 180,000 were set to 180,000, and then the entire image was normalized to 0-255.

[edit] Licensing

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• Tent map