File:Mymandelbrot3.jpg
Original file (10,000 × 5,625 pixels, file size: 2.95 MB, MIME type: image/jpeg)
Captions
Captions
Summary
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| Description |
Français : Représentation du comportement asymptotique de la suite { z(0) = 1 ; z(n+1) = a z(n)^2 (3 - z(n)) / (3 z(n) - 1) } en fonction du nombre complexe a.
Portion du plan complexe représentée : de - 1,8i à + 1,8i en ordonnée, de -2,6 à + 3,8 en abscisse. 1 pixel = distance de 0.00064. Noir = la suite tend vers un cycle attracteur ; Rouge = la suite tend vers l'infini ; Vert = la suite tend vers zéro ; Nuances plus claires de rouge ou de vert = la suite met plus de temps à tendre vers l'infini ou zéro. Image au format 16:9.English: Asymptotic behaviour of the sequence { z(0) = 1 ; z(n+1) = a z(n)^2 (3 - z(n)) / (3 z(n) - 1) } plotted as a function of the complex number a.
Portion of the complex plane shown: from - 1,8i to + 1,8i vertically, from -2,6 to + 3,8 horizontally. Black = the sequence is attracted to a cycle ; Red = the sequence diverges to infinity ; Green = the sequence converges to zero ; Lighter shades of red or green = the sequence diverges or converges after more iterations. Picture format = 16:9. |
| Date | |
| Source | Own work |
| Author | GrandEscogriffe |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:57, 18 September 2020 | | 10,000 × 5,625 (2.95 MB) | GrandEscogriffe (talk | contribs) | Uploaded own work with UploadWizard |
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