Hyperbolic equilibrium point

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Hyperbolic equilibrium point

Quality:

Hyperbolic equilibrium point - fixed point that does not have any center manifolds. Article “Hyperbolic equilibrium point” in English Wikipedia has 20.7 points for quality (as of July 1, 2025). The article contains 3 references and 7 sections.

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

Since the creation of article “Hyperbolic equilibrium point”, its content was written by 32 registered users of English Wikipedia and edited by 57 registered Wikipedia users in all languages.

The article is cited 25 times in English Wikipedia and cited 68 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #131909 in June 2017
  • Global: #137915 in October 2016

The highest popularity rank from 2008:

  • Local (English): #517872 in March 2014
  • Global: #826486 in April 2010

There are 6 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
1Ukrainian (uk)
Гіперболічна нерухома точка
22.3919
2English (en)
Hyperbolic equilibrium point
20.6767
3Russian (ru)
Гиперболическая неподвижная точка
18.4363
4Italian (it)
Punto di equilibrio iperbolico
12.2173
5Japanese (ja)
双曲型平衡点
10.9587
6German (de)
Hyperbolischer Fixpunkt
10.9002
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 "Hyperbolic equilibrium point" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hyperbolic equilibrium point
185 745
2Italian (it)
Punto di equilibrio iperbolico
14 124
3German (de)
Hyperbolischer Fixpunkt
8 802
4Russian (ru)
Гиперболическая неподвижная точка
7 954
5Japanese (ja)
双曲型平衡点
6 269
6Ukrainian (uk)
Гіперболічна нерухома точка
139
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 "Hyperbolic equilibrium point" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hyperbolic equilibrium point
619
2Russian (ru)
Гиперболическая неподвижная точка
112
3Italian (it)
Punto di equilibrio iperbolico
55
4Japanese (ja)
双曲型平衡点
43
5German (de)
Hyperbolischer Fixpunkt
39
6Ukrainian (uk)
Гіперболічна нерухома точка
7
More...

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

The highest AI

Language versions of the article "Hyperbolic equilibrium point" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hyperbolic equilibrium point
32
2Italian (it)
Punto di equilibrio iperbolico
9
3German (de)
Hyperbolischer Fixpunkt
8
4Russian (ru)
Гиперболическая неподвижная точка
5
5Japanese (ja)
双曲型平衡点
2
6Ukrainian (uk)
Гіперболічна нерухома точка
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 "Hyperbolic equilibrium point" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Russian (ru)
Гиперболическая неподвижная точка
1
2German (de)
Hyperbolischer Fixpunkt
0
3English (en)
Hyperbolic equilibrium point
0
4Italian (it)
Punto di equilibrio iperbolico
0
5Japanese (ja)
双曲型平衡点
0
6Ukrainian (uk)
Гіперболічна нерухома точка
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 "Hyperbolic equilibrium point" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hyperbolic equilibrium point
25
2Russian (ru)
Гиперболическая неподвижная точка
13
3German (de)
Hyperbolischer Fixpunkt
10
4Ukrainian (uk)
Гіперболічна нерухома точка
9
5Japanese (ja)
双曲型平衡点
8
6Italian (it)
Punto di equilibrio iperbolico
3
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
Hyperbolischer Fixpunkt
enEnglish
Hyperbolic equilibrium point
itItalian
Punto di equilibrio iperbolico
jaJapanese
双曲型平衡点
ruRussian
Гиперболическая неподвижная точка
ukUkrainian
Гіперболічна нерухома точка

Popularity rank trends

Best Rank English:
#517872
03.2014
Global:
#826486
04.2010

AI rank trends

Best Rank English:
#131909
06.2017
Global:
#137915
10.2016

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hyperbolic equilibrium point from Wikipedia articles about Hartman–Grobman theorem, Stable manifold theorem, Equilibrium point, Saddle point and Morse–Smale system. Whereas reading the article about Hyperbolic equilibrium point people most often go to Wikipedia articles on Center manifold, Hartman–Grobman theorem, Shadowing lemma, Arnolds cat map and Stable manifold.

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