File:TentMap BifurcationDiagram.png
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Original file (1,254 × 1,254 pixels, file size: 543 KB, MIME type: image/png)
Summary
| 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). |
Licensing
|
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. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 02:15, 13 September 2005 | | 1,254 × 1,254 (543 KB) | wikimediacommons>PAR~commonswiki | Bifurcation diagram for the tent map. |
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