Duffing equation

en

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Duffing equation

Quality:

Duffing equation - non-linear second order differential equation and its attractor. Article “Duffing equation” in English Wikipedia has 57.9 points for quality (as of July 1, 2025). The article contains 17 references and 14 sections.

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

Since the creation of article “Duffing equation”, its content was written by 38 registered users of English Wikipedia and edited by 103 registered Wikipedia users in all languages.

The article is cited 114 times in English Wikipedia and cited 276 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #110917 in June 2016
  • Global: #156066 in July 2009

The highest popularity rank from 2008:

  • Local (English): #260552 in November 2021
  • Global: #367363 in April 2019

There are 9 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)
Duffing equation
57.9357
2French (fr)
Oscillateur de Duffing
33.6827
3Chinese (zh)
杜芬振子
31.085
4Japanese (ja)
ダフィング方程式
13.207
5Russian (ru)
Осциллятор Дуффинга
9.6767
6Ukrainian (uk)
Рівняння Дуффінга
4.4844
7German (de)
Duffing-Oszillator
4.3565
8Korean (ko)
더핑 방정식
4.1053
9Portuguese (pt)
Equação de Duffing
2.0638
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 "Duffing equation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Duffing equation
504 316
2Russian (ru)
Осциллятор Дуффинга
60 104
3German (de)
Duffing-Oszillator
42 132
4Japanese (ja)
ダフィング方程式
32 172
5Chinese (zh)
杜芬振子
23 138
6French (fr)
Oscillateur de Duffing
17 723
7Portuguese (pt)
Equação de Duffing
12 577
8Ukrainian (uk)
Рівняння Дуффінга
1 182
9Korean (ko)
더핑 방정식
441
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 "Duffing equation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Duffing equation
2 776
2Japanese (ja)
ダフィング方程式
265
3Russian (ru)
Осциллятор Дуффинга
230
4French (fr)
Oscillateur de Duffing
225
5German (de)
Duffing-Oszillator
158
6Chinese (zh)
杜芬振子
118
7Portuguese (pt)
Equação de Duffing
40
8Korean (ko)
더핑 방정식
17
9Ukrainian (uk)
Рівняння Дуффінга
10
More...

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

The highest AI

Language versions of the article "Duffing equation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Duffing equation
38
2German (de)
Duffing-Oszillator
21
3Russian (ru)
Осциллятор Дуффинга
17
4French (fr)
Oscillateur de Duffing
7
5Japanese (ja)
ダフィング方程式
6
6Ukrainian (uk)
Рівняння Дуффінга
5
7Portuguese (pt)
Equação de Duffing
4
8Chinese (zh)
杜芬振子
4
9Korean (ko)
더핑 방정식
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 "Duffing equation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Duffing-Oszillator
0
2English (en)
Duffing equation
0
3French (fr)
Oscillateur de Duffing
0
4Japanese (ja)
ダフィング方程式
0
5Korean (ko)
더핑 방정식
0
6Portuguese (pt)
Equação de Duffing
0
7Russian (ru)
Осциллятор Дуффинга
0
8Ukrainian (uk)
Рівняння Дуффінга
0
9Chinese (zh)
杜芬振子
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 "Duffing equation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Duffing equation
114
2Ukrainian (uk)
Рівняння Дуффінга
49
3Chinese (zh)
杜芬振子
46
4Portuguese (pt)
Equação de Duffing
39
5Korean (ko)
더핑 방정식
9
6Russian (ru)
Осциллятор Дуффинга
6
7Japanese (ja)
ダフィング方程式
5
8German (de)
Duffing-Oszillator
4
9French (fr)
Oscillateur de Duffing
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
deGerman
Duffing-Oszillator
enEnglish
Duffing equation
frFrench
Oscillateur de Duffing
jaJapanese
ダフィング方程式
koKorean
더핑 방정식
ptPortuguese
Equação de Duffing
ruRussian
Осциллятор Дуффинга
ukUkrainian
Рівняння Дуффінга
zhChinese
杜芬振子

Popularity rank trends

Best Rank English:
#260552
11.2021
Global:
#367363
04.2019

AI rank trends

Best Rank English:
#110917
06.2016
Global:
#156066
07.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Duffing equation from Wikipedia articles about Poincaré map, List of chaotic maps, Oscillator, Elastic pendulum and Dynamic chaos. Whereas reading the article about Duffing equation people most often go to Wikipedia articles on Georg Duffing, Harmonic oscillator, Poincaré map, Frobenius method and Homotopy analysis method.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 March 2026

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In English Wikipedia the most popular articles on that day were: 2026 Iran war, Mojtaba Khamenei, Deaths in 2026, Ali Khamenei, War Machine (upcoming film), Enhypen, Jennifer Runyon, Pete Hegseth, 2026 World Baseball Classic, Iran.

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