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Hopf bifurcation

critical point where a periodic solution arises
Class type of: critical point Q531126

Facts

4 properties
Instance of
mathematical concept
Subclass of
critical point[5]
Maintained by WikiProject
WikiProject Mathematics[6]
Named after
Henri Poincaré, Aleksandr Andronov, Eberhard Hopf[2][3][4]
🏷️ Also known as
en Poincaré–Andronov–Hopf bifurcation en Andronov–Hopf bifurcation en Hopf bifurcation de Hopf-Bifurkation fr bifurcation de Hopf it biforcazione di Hopf ja ホップ分岐 ko 호프 분기 nl Hopf-bifurcatie pt bifurcação de Hopf ru Бифуркация Андронова — Хопфа uk біфуркація Андронова — Гопфа uk біфуркація Гопфа zh 霍普夫分岔
🔖 Identifiers · 5
OpenAlex ID
C172435161
Freebase ID
/m/09qvwt
MathWorld ID
HopfBifurcation
Microsoft Academic ID (discontinued)
172435161
Scholarpedia article ID
Andronov-Hopf_bifurcation

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🔗 Connections
Named after 3
Henri Poincaré, Aleksandr Andronov, Eberhard Hopf
Created notable works 1
Eberhard Hopf
Maintained by WikiProject 1
WikiProject Mathematics
Subclass of 1
critical point
← Is the study of 1
bifurcation theory
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Summary

Hopf bifurcation is a mathematical concept[1].

Related Entities

Henri Poincaré

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). Hopf bifurcation. Retrieved November 7, 2026, from https://4ort.xyz/entity/hopf-bifurcation
MLA “Hopf bifurcation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 Nov. 2026, https://4ort.xyz/entity/hopf-bifurcation.
BibTeX @misc{4ortxyz_hopf-bifurcation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hopf bifurcation}}, year = {2026}, url = {https://4ort.xyz/entity/hopf-bifurcation}, note = {Accessed: 2026-11-07}}
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