Invariant manifold

en

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Invariant manifold

Quality:

Invariant manifold - under the action of dynamical system. Article "Invariant manifold" in English Wikipedia has 17.1 points for quality (as of July 1, 2025). The article contains 4 references and 6 sections. The article also contains quality flaw template, which reduce quality score.

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

In June 2025 the article "Invariant manifold" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Invariant manifold", its content was written by 15 registered users of English Wikipedia and edited by 33 registered Wikipedia users in all languages.

The article is cited 23 times in English Wikipedia and cited 49 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #123102 in November 2010
  • Global: #148914 in December 2022

The highest popularity rank from 2008:

  • Local (English): #385432 in October 2015
  • Global: #634041 in October 2015

There are 5 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
1Chinese (zh)
不变流形
19.0386
2English (en)
Invariant manifold
17.0695
3Italian (it)
Varietà invariante
3.9279
4Russian (ru)
Инвариантное многообразие
2.3979
5Ukrainian (uk)
Інваріантний многовид
2.2739
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 "Invariant manifold" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Invariant manifold
64 244
2Russian (ru)
Инвариантное многообразие
11 427
3Italian (it)
Varietà invariante
4 565
4Chinese (zh)
不变流形
1 551
5Ukrainian (uk)
Інваріантний многовид
152
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 "Invariant manifold" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Invariant manifold
480
2Russian (ru)
Инвариантное многообразие
41
3Chinese (zh)
不变流形
35
4Italian (it)
Varietà invariante
30
5Ukrainian (uk)
Інваріантний многовид
6
More...

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

The highest AI

Language versions of the article "Invariant manifold" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Invariant manifold
15
2Russian (ru)
Инвариантное многообразие
7
3Italian (it)
Varietà invariante
5
4Chinese (zh)
不变流形
4
5Ukrainian (uk)
Інваріантний многовид
2
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 "Invariant manifold" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Invariant manifold
1
2Italian (it)
Varietà invariante
0
3Russian (ru)
Инвариантное многообразие
0
4Ukrainian (uk)
Інваріантний многовид
0
5Chinese (zh)
不变流形
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 "Invariant manifold" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Invariant manifold
23
2Italian (it)
Varietà invariante
10
3Russian (ru)
Инвариантное многообразие
6
4Ukrainian (uk)
Інваріантний многовид
6
5Chinese (zh)
不变流形
4
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
enEnglish
Invariant manifold
itItalian
Varietà invariante
ruRussian
Инвариантное многообразие
ukUkrainian
Інваріантний многовид
zhChinese
不变流形

Popularity rank trends

Best Rank English:
#385432
10.2015
Global:
#634041
10.2015

AI rank trends

Best Rank English:
#123102
11.2010
Global:
#148914
12.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Invariant manifold from Wikipedia articles about Stable manifold, Center manifold, Spectral submanifold, Nonlinear dimensionality reduction and Invariant subspace. Whereas reading the article about Invariant manifold people most often go to Wikipedia articles on Lagrangian coherent structures, Slow manifold, Stable manifold, Topological manifold and Center manifold.

Cumulative results of quality and popularity of the Wikipedia article

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

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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