File:Wandering domains for the entire function f(z)=z+2πsin(z).png
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DescriptionWandering domains for the entire function f(z)=z+2πsin(z).png |
English: This is a picture of the dynamical plane for the transcendental entire function . The Fatou set, being a union of wandering domains, is shown in white. The Julia set is drawn in shades of grey, motivated by Arnaud Chéritat's similar image for maps in the sine family. (Darker pixels spend more time in the upper half-plane before mapping near infinity.)
The image was created using a general-purpose heuristic for determining whether a pixel intersects the Julia set, followed by an ad-hoc method for the colouring of the Julia set. (Some artifacts are visible in the colouring of the Julia set; this is due to the fact that only one point of each pixel is iterated. It should be principle, in principle, to reduce these artifacts by using a similar heuristic as the one applied in the first part of the process.) |
Date | |
Source | Own work |
Author | Lasse Rempe-Gillen |
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current | 09:31, 7 March 2013 | 2,500 × 1,000 (418 KB) | L rempe (talk | contribs) | User created page with UploadWizard |
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Horizontal resolution | 28.35 dpc |
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Vertical resolution | 28.35 dpc |
File change date and time | 18:04, 6 March 2013 |