ছবি:Circle map poincare recurrence.jpeg - উইকিপিডিয়া

# ছবি:Circle map poincare recurrence.jpeg

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Size of this preview: 300 × 600 pixel
Image in higher resolution (450 × 900 pixel, file size: 129 KB, MIME type: image/jpeg)

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La bildo estas kopiita de wikipedia:en. La originala priskribo estas:

## [edit] Description

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, θn and ε, the recurrence time N is given by the smallest integer N such that

is satisfied. This figure shows the average value of N for a variety of starting values θn, and an ε = 0.003. 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.

## [edit] Summary

Average Poincaré recurrence time for the circle map. Original artwork created by Linas Vepstas User:Linas <linas@linas.org> 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
--- | --- | ---
05:21, 19 January 2006 | en:User:Linas | (error in description)
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)
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>)
04:25, 19 January 2006 | en:User:Linas | (start adding sdescription)
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>)

#### [edit] Historio de la dosiero

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

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- (del) (cur) 04:14, 19 January 2006 . . en:User:Linas Linas ( en:User_talk:Linas Talk) . . 450x900 (132528 bytes) (Histogram of en:Poincaré_recurrence Poincaré recurrence for the en:Circle_map circle map. Original artwork by Linas Vepstas en:User:Linas User:Linas <linas@linas.org>)

## জুরিসিতা

The following pages link to this file:

- হমিলদুৱার:গণিত
- মডেল:হমিলদুৱার গণিত/বাছিসি ছবিগ

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