Kolmogorov–Arnold–Moser theorem

result in dynamical systems about the persistence of quasiperiodic motions under small perturbations; partly resolves the small-divisor problem that arises in the perturbation theory of classical mechanics
Intangible theorem Q587081
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Kolmogorov–Arnold–Moser theorem

Summary

Kolmogorov–Arnold–Moser theorem is a theorem[1]. It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • Kolmogorov–Arnold–Moser theorem is credited with the discovery of Andrey Kolmogorov[3].
  • Kolmogorov–Arnold–Moser theorem is credited with the discovery of Vladimir Arnold[4].
  • Kolmogorov–Arnold–Moser theorem's instance of is recorded as theorem[5].
  • Jürgen Moser is named after Kolmogorov–Arnold–Moser theorem[6].
  • Andrey Kolmogorov is named after Kolmogorov–Arnold–Moser theorem[7].
  • Vladimir Arnold is named after Kolmogorov–Arnold–Moser theorem[8].
  • Kolmogorov–Arnold–Moser theorem is part of list of theorems[9].
  • Kolmogorov–Arnold–Moser theorem's studied by is recorded as calculus[10].
  • Kolmogorov–Arnold–Moser theorem's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Body

Definition and Type

Kolmogorov–Arnold–Moser theorem's instance of is recorded as theorem[5].

Origins

Things named after include Jürgen Moser[6], a mathematician[12], 1928–1999[13], of Germany[14], awarded the Fulbright Scholarship[15], specialised in mathematical analysis[16]; Andrey Kolmogorov[7], a mathematician[17], 1903–1987[18], of Russian Empire[19], awarded the Lobachevsky Prize[20], specialised in probability theory[21]; and Vladimir Arnold[8], a mathematician[22], 1937–2010[23], of Soviet Union[24], awarded the Lenin Prize[25], specialised in mathematical analysis[26].

Use and Application

Kolmogorov–Arnold–Moser theorem is part of list of theorems[9].

Why It Matters

Kolmogorov–Arnold–Moser theorem has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[2] It is known by 9 alternative names across languages and contexts.[27]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [5] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Inline context (facts about related entities)

  1. [12] . Wikidata. wikidata.org. → on this site
  2. [13] . Wikidata. wikidata.org. → on this site
  3. [14] . Wikidata. wikidata.org. → on this site
  4. [15] . Wikidata. wikidata.org. → on this site
  5. [16] . Wikidata. wikidata.org. → on this site
  6. [17] . Wikidata. wikidata.org. → on this site
  7. [18] . Wikidata. wikidata.org. → on this site
  8. [19] . Wikidata. wikidata.org. → on this site
  9. [20] . Wikidata. wikidata.org. → on this site
  10. [21] . Wikidata. wikidata.org. → on this site
  11. [22] . Wikidata. wikidata.org. → on this site
  12. [23] . Wikidata. wikidata.org. → on this site
  13. [24] . Wikidata. wikidata.org. → on this site
  14. [25] . Wikidata. wikidata.org. → on this site
  15. [26] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikidata sitelinks. wikidata.org.
  2. [27] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Kolmogorov–Arnold–Moser theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/kolmogorov-arnold-moser-theorem
MLA “Kolmogorov–Arnold–Moser theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/kolmogorov-arnold-moser-theorem.
BibTeX @misc{4ortxyz_kolmogorov-arnold-moser-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Kolmogorov–Arnold–Moser theorem}}, year = {2026}, url = {https://4ort.xyz/entity/kolmogorov-arnold-moser-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Kolmogorov–Arnold–Moser theorem — https://4ort.xyz/entity/kolmogorov-arnold-moser-theorem (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 19d ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 ['44ioeK', '3O7Bm0']
    Instance of theorem
    Named after
    Discoverer or inventor Andrey Kolmogorov, Vladimir Arnold
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
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