Immagine:LogisticMap BifurcationDiagram.png

Da Wikipedia, l'enciclopedia libera.

Immagine
Cronologia di questa immagine
Pagine che usano questa immagine

Scarica la versione ad alta risoluzione (1838x1300, 570 KB)

Questo file proviene da Wikimedia Commons, per ulteriori informazioni vedi la sua pagina di descrizione.
Se non hai mai usato Commons, visita la pagina di benvenuto, o leggi le FAQ.

[edit] Summary

A bifurcation diagram for the Logistic map:

$x_{n+1}=rx_n(1-x_n)\,$

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.

[edit] Licensing

I, the author of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Pagine che usano questa immagine

Le pagine seguenti richiamano questa immagine:

Mappa logistica

Estratto da "http://it.wikipedia.org../../../l/o/g/Immagine%7ELogisticMap_BifurcationDiagram.png_7602.html"

Immagine:LogisticMap BifurcationDiagram.png

Da Wikipedia, l'enciclopedia libera.

[edit] Summary

[edit] Licensing

Pagine che usano questa immagine

Views

Navigazione

comunità

Ricerca