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File:Locally connected Julia set of a hyperbolic function in the complex cosine family.svg

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Description
English: This is a high-resolution version of Figure 2(c) 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 Julia set is locally connected.
  • the Fatou set is shown in white. Every Fatou component is a quasidisc.
  • The map is , with .
  • The superattracting fixed point at is the only attracting cycle;
  • the second critical value is mapped to after two iterations.
Date
Source Own work
Author L Rempe-Gillen
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4 April 2014

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Date/TimeThumbnailDimensionsUserComment
current08:24, 4 April 2014Thumbnail for version as of 08:24, 4 April 20141,800 × 1,200 (630 KB)L rempeChanged nominal resolution of SVG file to resolution of embedded bitmap.
07:54, 4 April 2014Thumbnail for version as of 07:54, 4 April 2014600 × 400 (632 KB)L rempeUser created page with UploadWizard

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