Ivar Bendixson
E620666
Ivar Bendixson was a Swedish mathematician known for his contributions to the qualitative theory of differential equations and dynamical systems, including work leading to the Poincaré–Bendixson theorem.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Ivar Bendixson canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T6801212 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Ivar Bendixson Context triple: [Poincaré–Bendixson theorem, namedAfter, Ivar Bendixson]
-
A.
Gösta Mittag-Leffler
Gösta Mittag-Leffler was a Swedish mathematician known for his foundational work in complex analysis and for founding the journal Acta Mathematica.
-
B.
Ivar Fredholm
Ivar Fredholm was a Swedish mathematician best known for his foundational work on integral equations, which played a key role in the development of functional analysis.
-
C.
Ernst Lindelöf
Ernst Lindelöf was a Finnish mathematician known for his contributions to complex analysis, topology, and the theory of differential equations.
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D.
Signe Mittag-Leffler
Signe Mittag-Leffler was the wife of Swedish mathematician Gösta Mittag-Leffler and a member of the prominent Mittag-Leffler family connected to academic and cultural life in Sweden.
-
E.
Augustin Ehrensvärd
Augustin Ehrensvärd was an 18th-century Swedish military officer and military architect best known for designing and overseeing the construction of the coastal fortress that became Suomenlinna near Helsinki.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Ivar Bendixson Target entity description: Ivar Bendixson was a Swedish mathematician known for his contributions to the qualitative theory of differential equations and dynamical systems, including work leading to the Poincaré–Bendixson theorem.
-
A.
Gösta Mittag-Leffler
Gösta Mittag-Leffler was a Swedish mathematician known for his foundational work in complex analysis and for founding the journal Acta Mathematica.
-
B.
Ivar Fredholm
Ivar Fredholm was a Swedish mathematician best known for his foundational work on integral equations, which played a key role in the development of functional analysis.
-
C.
Ernst Lindelöf
Ernst Lindelöf was a Finnish mathematician known for his contributions to complex analysis, topology, and the theory of differential equations.
-
D.
Signe Mittag-Leffler
Signe Mittag-Leffler was the wife of Swedish mathematician Gösta Mittag-Leffler and a member of the prominent Mittag-Leffler family connected to academic and cultural life in Sweden.
-
E.
Augustin Ehrensvärd
Augustin Ehrensvärd was an 18th-century Swedish military officer and military architect best known for designing and overseeing the construction of the coastal fortress that became Suomenlinna near Helsinki.
- F. None of above. chosen
Statements (34)
| Predicate | Object |
|---|---|
| instanceOf |
Swedish mathematician
ⓘ
human ⓘ mathematician ⓘ |
| contributedTo |
criteria for nonexistence of periodic orbits
ⓘ
theory of limit sets in dynamical systems ⓘ theory of planar dynamical systems ⓘ |
| countryOfCitizenship | Sweden ⓘ |
| educatedAt | Uppsala University ⓘ |
| familyName | Bendixson ⓘ |
| fieldOfWork |
differential equations
ⓘ
dynamical systems ⓘ mathematics ⓘ topology ⓘ |
| gender | male ⓘ |
| givenName | Ivar ⓘ |
| hasNameInCriterion |
Bendixson’s criterion
ⓘ
linked to:
Bendixson–Dulac criterion
|
| hasNameInTheorem |
Bendixson–Dulac theorem
ⓘ
linked to:
Bendixson–Dulac criterion
Poincaré–Bendixson theorem ⓘ |
| hasResearchArea |
limit cycles
ⓘ
ordinary differential equations ⓘ phase plane analysis ⓘ |
| influencedBy | Henri Poincaré ⓘ |
| knownFor |
Poincaré–Bendixson theorem
ⓘ
qualitative theory of differential equations ⓘ qualitative theory of dynamical systems ⓘ |
| languageOfWorkOrName | Swedish ⓘ |
| notableConcept |
Bendixson–Dulac theorem
ⓘ
linked to:
Bendixson–Dulac criterion
Bendixson’s criterion ⓘ
linked to:
Bendixson–Dulac criterion
Poincaré–Bendixson theorem ⓘ |
| notableWork | Poincaré–Bendixson theorem ⓘ |
| occupation |
mathematician
ⓘ
university teacher ⓘ |
| workLocation |
Stockholm
ⓘ
Sweden ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Ivar Bendixson Description of subject: Ivar Bendixson was a Swedish mathematician known for his contributions to the qualitative theory of differential equations and dynamical systems, including work leading to the Poincaré–Bendixson theorem.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.