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La bildo estas kopiita de wikipedia:en. La originala priskribo estas:
Circle map showing mode-locked regions or Arnold tongues in black. Ω varies from 0 to 1 along the x-axis, and
K varies from 0 at the bottom to 4π at the top.
[edit] Description
The image shows the en:bifurcation diagram for the iterated en:circle map. The circle map is given by iterating on the map
This figure shows along the x-axis, with coupling constant K ranging from 0 at the bottom to 4π at the top. The frequency Ω is held constant at 1/3.
Chaotic regions are interspersed with stable region are clearly visible. By comparing this image to the image showing Arnold tongues, and aligning along the Ω=1/3 slice, it becomes apparent that the stable regions correspond to the Arnold tongues, that is, to the regions where the map is mode-locked.
[edit] Summary
en:Bifurcation diagram for the en:circle map at Ω=1/3. Original image created by Linas Vepstas en:User:Linas <linas@linas.org> on 19 January 2006.
[edit] Licensing
date/time |
username |
edit summary |
05:00, 20 January 2006 |
en:User:Linas |
(<span class="autocomment"><a href="/wiki/Image:Circle_map_bifurcation.jpeg#Summary" title="Image:Circle map bifurcation.jpeg">→</a>Summary -</span> in-depth explanation of image) |
04:44, 20 January 2006 |
en:User:Linas |
(<a href="/wiki/Bifurcation_diagram" title="Bifurcation diagram">Bifurcation diagram</a> for the <a href="/wiki/Circle_map" title="Circle map">circle map</a> at Ω=1/3. Original image created by Linas Vepstas <a href="/wiki/User:Linas" title="User:Linas">User:Linas</a> <linas@linas.org>) |
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| Date/Time | Dimensions | User | Comment |
current | 18:06, 18 March 2006 | 450×900 (118 KB) | Maksim | |
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