Horseshoe map

en

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Horseshoe map

Quality:

Horseshoe map - class of chaotic maps of the square into itself. Article “Horseshoe map” in English Wikipedia has 43.2 points for quality (as of July 1, 2025). The article contains 2 references and 11 sections.

This article has the best quality in Japanese Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Horseshoe map”, its content was written by 44 registered users of English Wikipedia and edited by 147 registered Wikipedia users in all languages.

The article is cited 121 times in English Wikipedia and cited 289 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #4090 in February 2004
  • Global: #14916 in February 2004

The highest popularity rank from 2008:

  • Local (English): #165389 in October 2017
  • Global: #266588 in October 2017

There are 10 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Japanese (ja)
馬蹄形写像
51.2221
2English (en)
Horseshoe map
43.2031
3Italian (it)
Mappa a ferro di cavallo
23.6981
4Polish (pl)
Podkowa Smale’a
22.7189
5Chinese (zh)
马蹄映射
15.9693
6Persian (fa)
نگاشت نعل اسبی
6.5468
7German (de)
Hufeisen-Abbildung
4.997
8Ukrainian (uk)
Підкова Смейла
4.6436
9Russian (ru)
Подкова Смейла
4.3503
10French (fr)
Fer à cheval de Smale
4.1137
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Horseshoe map" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Horseshoe map
295 864
2Russian (ru)
Подкова Смейла
48 726
3French (fr)
Fer à cheval de Smale
23 549
4German (de)
Hufeisen-Abbildung
18 938
5Italian (it)
Mappa a ferro di cavallo
16 107
6Japanese (ja)
馬蹄形写像
8 223
7Polish (pl)
Podkowa Smale’a
6 764
8Persian (fa)
نگاشت نعل اسبی
5 349
9Chinese (zh)
马蹄映射
4 111
10Ukrainian (uk)
Підкова Смейла
2 034
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Horseshoe map" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Horseshoe map
1 299
2Russian (ru)
Подкова Смейла
142
3Japanese (ja)
馬蹄形写像
100
4Chinese (zh)
马蹄映射
58
5French (fr)
Fer à cheval de Smale
57
6Italian (it)
Mappa a ferro di cavallo
45
7Polish (pl)
Podkowa Smale’a
24
8German (de)
Hufeisen-Abbildung
21
9Persian (fa)
نگاشت نعل اسبی
14
10Ukrainian (uk)
Підкова Смейла
8
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Horseshoe map" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Horseshoe map
44
2German (de)
Hufeisen-Abbildung
27
3Italian (it)
Mappa a ferro di cavallo
20
4French (fr)
Fer à cheval de Smale
17
5Russian (ru)
Подкова Смейла
13
6Polish (pl)
Podkowa Smale’a
9
7Japanese (ja)
馬蹄形写像
6
8Ukrainian (uk)
Підкова Смейла
6
9Persian (fa)
نگاشت نعل اسبی
4
10Chinese (zh)
马蹄映射
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Horseshoe map" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Hufeisen-Abbildung
0
2English (en)
Horseshoe map
0
3Persian (fa)
نگاشت نعل اسبی
0
4French (fr)
Fer à cheval de Smale
0
5Italian (it)
Mappa a ferro di cavallo
0
6Japanese (ja)
馬蹄形写像
0
7Polish (pl)
Podkowa Smale’a
0
8Russian (ru)
Подкова Смейла
0
9Ukrainian (uk)
Підкова Смейла
0
10Chinese (zh)
马蹄映射
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Horseshoe map" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Horseshoe map
121
2Persian (fa)
نگاشت نعل اسبی
47
3Italian (it)
Mappa a ferro di cavallo
47
4Chinese (zh)
马蹄映射
34
5Ukrainian (uk)
Підкова Смейла
21
6French (fr)
Fer à cheval de Smale
6
7German (de)
Hufeisen-Abbildung
4
8Japanese (ja)
馬蹄形写像
4
9Russian (ru)
Подкова Смейла
4
10Polish (pl)
Podkowa Smale’a
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Hufeisen-Abbildung
enEnglish
Horseshoe map
faPersian
نگاشت نعل اسبی
frFrench
Fer à cheval de Smale
itItalian
Mappa a ferro di cavallo
jaJapanese
馬蹄形写像
plPolish
Podkowa Smale’a
ruRussian
Подкова Смейла
ukUkrainian
Підкова Смейла
zhChinese
马蹄映射

Popularity rank trends

Best Rank English:
#165389
10.2017
Global:
#266588
10.2017

AI rank trends

Best Rank English:
#4090
02.2004
Global:
#14916
02.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Horseshoe map from Wikipedia articles about Dynamic chaos, Bakers map, Dynamical system, List of chaotic maps and Stephen Smale. Whereas reading the article about Horseshoe map people most often go to Wikipedia articles on Bakers map, Hénon map, Van der Pol oscillator, Stephen Smale and Anosov diffeomorphism.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information