File:Locally connected Julia set of a hyperbolic function in the complex cosine family with two attracting cycles.svg
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editDescriptionLocally connected Julia set of a hyperbolic function in the complex cosine family with two attracting cycles.svg |
English: This is a high-resolution version of Figure 2(d) from the paper "Hyperbolic entire functions with bounded Fatou components" by Bergweiler, Fagella and Rempe-Gillen (https://arxiv.org/abs/1404.0925). The Julia set is shown in dark tones of grey; the Fatou set is shown in white and light grey. The map is , with . There is a superattracting fixed point at $0$, whose basin is shown in white; the second critical value $\lambda$ belongs to the basin of a second attracting cycle of period 2. Every Fatou component is a quasidisc, and the Julia set is locally connected. |
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Date | |||
Source | Own work | ||
Author | L Rempe-Gillen | ||
SVG development InfoField | This trigonometry was created with Inkscape, or with something else.
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 08:20, 4 April 2014 | 1,800 × 1,200 (769 KB) | L rempe (talk | contribs) | Changed nominal resolution of SVG file to resolution of embedded bitmap. | |
07:54, 4 April 2014 | 600 × 400 (769 KB) | L rempe (talk | contribs) | User created page with UploadWizard |
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