Lyapunov function

en

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Lyapunov function

Quality:

Lyapunov function - concept in the analysis of dynamical systems. Article "Lyapunov function" in English Wikipedia has 16.1 points for quality (as of August 1, 2024). The article contains 0 references and 10 sections. The article also contains quality flaw template, which reduce quality score.

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

In July 2024 the article "Lyapunov function" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Lyapunov function", its content was written by 88 registered users of English Wikipedia and edited by 211 registered Wikipedia users in all languages.

The article is cited 66 times in English Wikipedia and cited 215 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #15054 in October 2003
  • Global: #26584 in October 2003

The highest popularity rank from 2008:

  • Local (English): #161152 in April 2015
  • Global: #179758 in December 2014

There are 12 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 August 1, 2024 (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
1Arabic (ar)
دالة ليابونوف
23.4844
2Thai (th)
ฟังก์ชันเลียปูนอฟ
17.8123
3Chinese (zh)
李亞普諾夫函數
17.6103
4Russian (ru)
Функция Ляпунова
16.3815
5English (en)
Lyapunov function
16.0879
6Catalan (ca)
Funció de Liapunov
12.9868
7Vietnamese (vi)
Hàm Lyapunov
11.9186
8Ukrainian (uk)
Функція Ляпунова
10.4274
9Spanish (es)
Función de Liapunov
9.2514
10Japanese (ja)
リアプノフ関数
8.8141
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 "Lyapunov function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Lyapunov function
919 651
2Russian (ru)
Функция Ляпунова
109 736
3Chinese (zh)
李亞普諾夫函數
108 845
4Japanese (ja)
リアプノフ関数
102 120
5Spanish (es)
Función de Liapunov
77 581
6Italian (it)
Funzione di Ljapunov
65 288
7French (fr)
Fonction de Liapounov
54 033
8Thai (th)
ฟังก์ชันเลียปูนอฟ
8 898
9Ukrainian (uk)
Функція Ляпунова
8 436
10Vietnamese (vi)
Hàm Lyapunov
5 711
More...

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

Most popular in July 2024

The most popular language versions of the article "Lyapunov function" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Lyapunov function
4 247
2Chinese (zh)
李亞普諾夫函數
787
3Japanese (ja)
リアプノフ関数
709
4Russian (ru)
Функция Ляпунова
423
5Italian (it)
Funzione di Ljapunov
273
6French (fr)
Fonction de Liapounov
221
7Spanish (es)
Función de Liapunov
143
8Vietnamese (vi)
Hàm Lyapunov
53
9Arabic (ar)
دالة ليابونوف
26
10Ukrainian (uk)
Функція Ляпунова
24
More...

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

The highest AI

Language versions of the article "Lyapunov function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Lyapunov function
88
2Italian (it)
Funzione di Ljapunov
32
3Chinese (zh)
李亞普諾夫函數
23
4Russian (ru)
Функция Ляпунова
19
5French (fr)
Fonction de Liapounov
16
6Spanish (es)
Función de Liapunov
7
7Ukrainian (uk)
Функція Ляпунова
7
8Vietnamese (vi)
Hàm Lyapunov
7
9Japanese (ja)
リアプノフ関数
4
10Arabic (ar)
دالة ليابونوف
3
More...

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

The highest AI in July 2024

Language versions of the article "Lyapunov function" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Lyapunov function
1
2Arabic (ar)
دالة ليابونوف
0
3Catalan (ca)
Funció de Liapunov
0
4Spanish (es)
Función de Liapunov
0
5French (fr)
Fonction de Liapounov
0
6Italian (it)
Funzione di Ljapunov
0
7Japanese (ja)
リアプノフ関数
0
8Russian (ru)
Функция Ляпунова
0
9Thai (th)
ฟังก์ชันเลียปูนอฟ
0
10Ukrainian (uk)
Функція Ляпунова
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 "Lyapunov function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Lyapunov function
66
2French (fr)
Fonction de Liapounov
53
3Chinese (zh)
李亞普諾夫函數
23
4Spanish (es)
Función de Liapunov
18
5Japanese (ja)
リアプノフ関数
12
6Italian (it)
Funzione di Ljapunov
9
7Russian (ru)
Функция Ляпунова
9
8Ukrainian (uk)
Функція Ляпунова
8
9Thai (th)
ฟังก์ชันเลียปูนอฟ
5
10Arabic (ar)
دالة ليابونوف
4
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in July 2024:
English:
Global:
Popularity in all years:
English:
Global:
Authors in July 2024:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
دالة ليابونوف
caCatalan
Funció de Liapunov
enEnglish
Lyapunov function
esSpanish
Función de Liapunov
frFrench
Fonction de Liapounov
itItalian
Funzione di Ljapunov
jaJapanese
リアプノフ関数
ruRussian
Функция Ляпунова
thThai
ฟังก์ชันเลียปูนอฟ
ukUkrainian
Функція Ляпунова
viVietnamese
Hàm Lyapunov
zhChinese
李亞普諾夫函數

Popularity rank trends

Best Rank English:
#161152
04.2015
Global:
#179758
12.2014

AI rank trends

Best Rank English:
#15054
10.2003
Global:
#26584
10.2003

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Lyapunov function from Wikipedia articles about Lyapunov stability, Stability theory, Aleksandr Lyapunov, Catastrophe theory and Lyapunov optimization. Whereas reading the article about Lyapunov function people most often go to Wikipedia articles on Lyapunov stability, Aleksandr Lyapunov, Control-Lyapunov function, Stability theory and Ordinary differential equation.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 2 March 2025

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In English Wikipedia the most popular articles on that day were: Elimination Chamber: Toronto, Gene Hackman, Angie Stone, Volodymyr Zelenskyy, Ruby Franke, Elon Musk, Gervonta Davis, 97th Academy Awards, Lamont Roach Jr., Michelle Trachtenberg.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information