File:TentMap BifurcationDiagram.png

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Original file(1,254 × 1,254 pixels, file size: 543 KB, MIME type: image/png)

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Description 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.
Date 13 September 2005 (original upload date)
Source No machine-readable source provided. Own work assumed (based on copyright claims).
Author No machine-readable author provided. PAR~commonswiki assumed (based on copyright claims).

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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current00:15, 13 September 2005Thumbnail for version as of 00:15, 13 September 20051,254 × 1,254 (543 KB)PAR~commonswiki (talk | contribs) Bifurcation diagram for the tent map.

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