Image:Devils-staircase.svg
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[edit] Description
This figure shows the winding number for the circle map, as a function of Ω, with K held constant, at K=1. It is an example of the Devil's staircase. Each of the flat regions corresponds to a region of phase-locking; that is, each flat area is a slice through one of the Arnold tongues.
The circle map is a model of the phase-locked loop, and is given by iterating the equation
The winding number is defined as the limiting behavior of the system after many iterations, by:
This graph shows ω on the vertical axis as a function of Ω on the horizontal axis.
[edit] Image history
Original image created by Linas Vepstas User:Linas on 17 January 2006.
| date/time | username | edit summary |
|---|---|---|
| 15:37, 17 January 2006 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Devils-staircase.svg#Description" title="Image:Devils-staircase.svg">→</a>Description -</span> further details) |
| 15:22, 17 January 2006 | en:User:Linas | (Provide description of the image) |
| 15:15, 17 January 2006 | en:User:Linas | (Original image created by Linas Vepstas <a href="/wiki/User:Linas" title="User:Linas">User:Linas</a> 17 January 2006) |
[edit] Historio de la dosiero
Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.
Click on date to download the file or see the image uploaded on that date.
- (del) (cur) 15:15, 17 January 2006 . . en:User:Linas Linas ( en:User_talk:Linas Talk) . . 600x480 (10737 bytes) (Original image created by Linas Vepstas en:User:Linas User:Linas 17 January 2006)
