摘要
本檔案是由Maksim從en.wikipedia轉移到維基共享資源。
原始描述頁面位於
這裡。下列使用者名稱均來自en.wikipedia。
摘要
The circle map is a chaotic map showing a number of interesting chaotic behaviors.
This figure shows the average Poincaré recurrence time for the iterated circle map modulo 1. The circle map is given by iterating on the map
Given a fixed value of K, Ω, and ε, the recurrence time N is given by the smallest integer N such that
is satisfied. This figure shows the average values of N for a variety of random starting values , and an ε = 0.0001. Black indicates values of N of less than about 10, blue values of about 50, green shows values of about 140 and red shows values greater than 250.
The frequency Ω runs from 0 to 1 along the horizontal axis, and the coupling constant K runs from 0 at the bottom to 4π at the top of the image. The upper limit of the red area at the bottom occurs at K=1.
摘要
Average Poincaré recurrence time for the circle map. Original artwork created by Linas Vepstas User:Linas <linas@linas.org> 18 January 2006
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date/time |
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edit summary
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05:21, 19 January 2006 |
en:User:Linas |
(error in description)
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04:41, 19 January 2006 |
en:User:Linas |
(<span class="autocomment"><a href="/wiki/Image:Circle_map_poincare_recurrence.jpeg#Description" title="Image:Circle map poincare recurrence.jpeg">→</a>Description -</span> Note)
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04:35, 19 January 2006 |
en:User:Linas |
(<span class="autocomment"><a href="/wiki/Image:Circle_map_poincare_recurrence.jpeg#Description" title="Image:Circle map poincare recurrence.jpeg">→</a>Description</span>)
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04:25, 19 January 2006 |
en:User:Linas |
(start adding sdescription)
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04:14, 19 January 2006 |
en:User:Linas |
(Histogram of <a href="/wiki/Poincar%C3%A9_recurrence" title="Poincaré recurrence">Poincaré recurrence</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>)
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