File:Herman Standard.png
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[edit]DescriptionHerman Standard.png |
English: It's a standard image of Julia set of the rational function e2πit z2(z−4)/(1−4z) with t=.6151732... chosen so that the rotation number is (√5−1)/2, which possess a Herman ring. |
Date | |
Source | Own work |
Author | Yangfei math |
Summary
[edit]Here is an example of a rational function which possesses a Herman ring
where such that the rotation number of ƒ on the unit circle is .
The picture shown on the right is the Julia set of ƒ: the curves in the white annulus are the orbits of some points under the iterations of ƒ while the dashed line denotes the unit circle.
Herman ring of period 1 and rotation number the golden mean.
Compare with :
[edit]-
image of the same Julia set, with src code but worse quality
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[edit]Licensing
[edit]Public domainPublic domainfalsefalse |
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 14:03, 25 October 2010 | 2,251 × 1,201 (217 KB) | Yangfei math (talk | contribs) | {{Information |Description={{en|1=It's a standard image of Julia set of a rational function which possess a Herman ring.}} |Source={{own}} |Author=Yangfei math |Date=2010-06-06 |Permission= |other_versions= }} |
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