Bild:Circle map winding number.jpeg
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[edit] Description
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.
[edit] Summary
The en:winding number for the en:circle map. Original artwork by Linas Vepstas en:User:Linas <linas@linas.org>, created 18 January 2006.
[edit] Licensing
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".
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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>) |
[edit] Historio de la dosiero
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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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