Arnold's cat map

chaotic map from the torus into itself
Thing anosov_diffeomorphism Q2961488
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Arnold's cat map

Summary

Arnold's cat map is an Anosov diffeomorphism[1]. It draws 90 Wikipedia views per month (anosov_diffeomorphism category, ranking #1 of 1).[2]

Key Facts

  • Arnold's cat map is credited with the discovery of Vladimir Arnold[3].
  • Arnold's cat map's video is recorded as Arnold's Cat Map animation (74px, zoomed, labelled).gif[4].
  • Arnold's cat map's image is recorded as Arnold cat.png[5].
  • Arnold's cat map's instance of is recorded as Anosov diffeomorphism[6].
  • Arnold's cat map's instance of is recorded as chaotic map[7].
  • Vladimir Arnold is named after Arnold's cat map[8].
  • cat is named after Arnold's cat map[9].
  • Arnold's cat map's Commons category is recorded as Arnold's cat map[10].
  • Arnold's cat map's Freebase ID is recorded as /m/0f1rw6[11].
  • Arnold's cat map's defining formula is recorded as \begin{aligned}\mathbb T^2&\to\mathbb T^2 \ (x,y) &\mapsto (2x+y,x+y) \bmod 1 \end{aligned}[12].
  • Arnold's cat map's MathWorld ID is recorded as ArnoldsCatMap[13].
  • Arnold's cat map's schematic is recorded as Arnoldcatmap.svg[14].
  • Arnold's cat map's schematic is recorded as Arnoldcatmap2.svg[15].
  • Arnold's cat map's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • Arnold's cat map's Microsoft Academic ID is recorded as 2778081325[17].
  • Arnold's cat map's Scholarpedia article ID is recorded as Arnold_cat_map[18].

Body

Works and Contributions

Arnold's cat map is credited with the discovery of Vladimir Arnold[3].

Why It Matters

Arnold's cat map draws 90 Wikipedia views per month (anosov_diffeomorphism category, ranking #1 of 1).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[19]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [6] . wikidata.org.
  4. [7] . wikidata.org.
  5. [3] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Freebase Data Dumps. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. 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). Arnold's cat map. Retrieved May 3, 2026, from https://4ort.xyz/entity/arnold-s-cat-map
MLA “Arnold's cat map.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/arnold-s-cat-map.
BibTeX @misc{4ortxyz_arnold-s-cat-map_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Arnold's cat map}}, year = {2026}, url = {https://4ort.xyz/entity/arnold-s-cat-map}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Arnold's cat map — https://4ort.xyz/entity/arnold-s-cat-map (retrieved 2026-05-03)

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