Van der Pol oscillator

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Van der Pol oscillator

Quality:

Van der Pol oscillator - non-conservative oscillator with non-linear damping. Article "Van der Pol oscillator" in English Wikipedia has 61.4 points for quality (as of July 1, 2025). The article contains 31 references and 11 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Van der Pol oscillator", its content was written by 67 registered users of English Wikipedia and edited by 251 registered Wikipedia users in all languages.

The article is cited 137 times in English Wikipedia and cited 414 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #62883 in March 2013
  • Global: #63050 in February 2008

The highest popularity rank from 2008:

  • Local (English): #165459 in October 2017
  • Global: #174900 in December 2015

There are 15 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
1English (en)
Van der Pol oscillator
61.4385
2Dutch (nl)
Van der Pol-vergelijking
38.784
3Persian (fa)
نوسان‌ساز ون در پل
38.0316
4Catalan (ca)
Oscil·lador de van der Pol
37.7974
5Chinese (zh)
范德波尔振荡器
33.1264
6Russian (ru)
Осциллятор Ван дер Поля
31.926
7Spanish (es)
Oscilador de van der Pol
31.3166
8Armenian (hy)
Վան դեր Պոլի օսցիլյատոր
26.3274
9Polish (pl)
Oscylator van der Pola
26.3091
10French (fr)
Oscillateur de Van der Pol
21.9269
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 "Van der Pol oscillator" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Van der Pol oscillator
813 510
2Russian (ru)
Осциллятор Ван дер Поля
97 600
3Japanese (ja)
ファン・デル・ポール振動子
94 580
4German (de)
Van-der-Pol-System
91 402
5French (fr)
Oscillateur de Van der Pol
90 041
6Spanish (es)
Oscilador de van der Pol
74 232
7Italian (it)
Oscillatore di van der Pol
42 750
8Dutch (nl)
Van der Pol-vergelijking
25 008
9Chinese (zh)
范德波尔振荡器
24 267
10Polish (pl)
Oscylator van der Pola
14 486
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 "Van der Pol oscillator" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Van der Pol oscillator
3 417
2French (fr)
Oscillateur de Van der Pol
570
3Japanese (ja)
ファン・デル・ポール振動子
483
4Russian (ru)
Осциллятор Ван дер Поля
375
5German (de)
Van-der-Pol-System
284
6Spanish (es)
Oscilador de van der Pol
277
7Chinese (zh)
范德波尔振荡器
181
8Italian (it)
Oscillatore di van der Pol
143
9Polish (pl)
Oscylator van der Pola
56
10Portuguese (pt)
Oscilador de Van der Pol
54
More...

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

The highest AI

Language versions of the article "Van der Pol oscillator" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Van der Pol oscillator
67
2German (de)
Van-der-Pol-System
35
3Dutch (nl)
Van der Pol-vergelijking
32
4French (fr)
Oscillateur de Van der Pol
30
5Italian (it)
Oscillatore di van der Pol
21
6Japanese (ja)
ファン・デル・ポール振動子
17
7Russian (ru)
Осциллятор Ван дер Поля
10
8Chinese (zh)
范德波尔振荡器
9
9Catalan (ca)
Oscil·lador de van der Pol
8
10Polish (pl)
Oscylator van der Pola
6
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 "Van der Pol oscillator" with the highest AI in June 2025
#LanguageAI awardRelative AI
1French (fr)
Oscillateur de Van der Pol
1
2Catalan (ca)
Oscil·lador de van der Pol
0
3German (de)
Van-der-Pol-System
0
4English (en)
Van der Pol oscillator
0
5Spanish (es)
Oscilador de van der Pol
0
6Persian (fa)
نوسان‌ساز ون در پل
0
7Armenian (hy)
Վան դեր Պոլի օսցիլյատոր
0
8Italian (it)
Oscillatore di van der Pol
0
9Japanese (ja)
ファン・デル・ポール振動子
0
10Dutch (nl)
Van der Pol-vergelijking
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 "Van der Pol oscillator" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Van der Pol oscillator
137
2Ukrainian (uk)
Осцилятор Ван дер Поля
53
3Chinese (zh)
范德波尔振荡器
50
4Persian (fa)
نوسان‌ساز ون در پل
49
5Japanese (ja)
ファン・デル・ポール振動子
22
6German (de)
Van-der-Pol-System
19
7French (fr)
Oscillateur de Van der Pol
19
8Russian (ru)
Осциллятор Ван дер Поля
17
9Spanish (es)
Oscilador de van der Pol
12
10Catalan (ca)
Oscil·lador de van der Pol
10
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
caCatalan
Oscil·lador de van der Pol
deGerman
Van-der-Pol-System
enEnglish
Van der Pol oscillator
esSpanish
Oscilador de van der Pol
faPersian
نوسان‌ساز ون در پل
frFrench
Oscillateur de Van der Pol
hyArmenian
Վան դեր Պոլի օսցիլյատոր
itItalian
Oscillatore di van der Pol
jaJapanese
ファン・デル・ポール振動子
nlDutch
Van der Pol-vergelijking
plPolish
Oscylator van der Pola
ptPortuguese
Oscilador de Van der Pol
ruRussian
Осциллятор Ван дер Поля
ukUkrainian
Осцилятор Ван дер Поля
zhChinese
范德波尔振荡器

Popularity rank trends

Best Rank English:
#165459
10.2017
Global:
#174900
12.2015

AI rank trends

Best Rank English:
#62883
03.2013
Global:
#63050
02.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Van der Pol oscillator from Wikipedia articles about Limit cycle, List of chaotic maps, Phase space, FitzHugh–Nagumo model and Phase portrait. Whereas reading the article about Van der Pol oscillator people most often go to Wikipedia articles on Balthasar van der Pol, Liénard equation, Limit cycle, Chaos theory and Relaxation oscillator.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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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