File:Circle map winding number.jpeg
![File:Circle map winding number.jpeg](https://upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Circle_map_winding_number.jpeg/600px-Circle_map_winding_number.jpeg?20060318180544)
Original file (900 × 900 pixels, file size: 70 KB, MIME type: image/jpeg)
Captions
Captions
Transferred from en.wikipedia to Commons by Maksim.
Summary
[edit]This image shows the winding number for the en:circle map. The circle map is defined by the iteration of the map
The winding number is given by considering the asymptotic behavior of the map, that is, by
In this image, black denotes a winding number of 0, red denotes a winding number of 1, and green denotes a winding number of 0.5. The plot is such that the frequency Ω runs from 0 to 1 along the x-axis, and the coupling constant K runs from 0 at the bottom of the image to 2π at the top.
Summary
[edit]The en:winding number for the en:circle map. Original artwork by Linas Vepstas en:User:Linas <linas@linas.org>, created 18 January 2006.
Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
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This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
date/time | username | edit summary |
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05:48, 19 January 2006 | en:User:Linas | (add image description) |
05:42, 19 January 2006 | en:User:Linas | (The <a href="/wiki/Winding_number" title="Winding number">winding number</a> for the <a href="/wiki/Circle_map" title="Circle map">circle map</a>. Original artwork by Linas Vepstas <a href="/wiki/User:Linas" title="User:Linas">User:Linas</a> <linas@linas.org>) |
Original upload log
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- (del) (cur) 05:42, 19 January 2006 . . en:User:Linas Linas ( en:User_talk:Linas Talk) . . 900x900 (71319 bytes) (The en:Winding_number winding number for the en:Circle_map circle map. Original artwork by Linas Vepstas en:User:Linas User:Linas <linas@linas.org>)
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 18:05, 18 March 2006 | ![]() | 900 × 900 (70 KB) | Maksim (talk | contribs) | La bildo estas kopiita de wikipedia:en. La originala priskribo estas: == Description == This image shows the winding number for the circle map. The circle map is defined by the iteration of the map :<math>\theta_{n+1}=\theta_n + \Omega -\frac{K}{2\ |
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