Triple

T23142606
Position Surface form Disambiguated ID Type / Status
Subject chaos theory E577499 entity
Predicate coreExample P127119 FINISHED
Object Henon map
The Hénon map is a classic two-dimensional discrete-time dynamical system that exhibits chaotic behavior and is widely studied as a simple model of strange attractors in nonlinear dynamics.
E1574162 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Henon map | Statement: [chaos theory, coreExample, Henon map]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Henon map
Context triple: [chaos theory, coreExample, Henon map]
  • A. Arnold cat map
    The Arnold cat map is a famous example of a chaotic, area-preserving transformation on the torus that illustrates how simple deterministic rules can produce complex, seemingly random behavior.
  • B. Lorenz attractor
    The Lorenz attractor is a famous chaotic set arising from a simplified model of atmospheric convection, known for its butterfly-shaped trajectory and role as an early example of deterministic chaos in dynamical systems.
  • C. Lyapunov fractal
    The Lyapunov fractal is a complex, self-similar pattern arising from iterating logistic maps with periodically varying parameters, used to visualize stability and chaos in dynamical systems.
  • D. Smale horseshoe
    The Smale horseshoe is a fundamental example in dynamical systems theory that illustrates chaotic behavior through a specific stretching-and-folding map of a square into a horseshoe-shaped region.
  • E. Poincaré map
    The Poincaré map is a mathematical tool in dynamical systems theory that reduces continuous-time dynamics to a discrete map by tracking intersections of trajectories with a lower-dimensional surface.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Henon map
Triple: [chaos theory, coreExample, Henon map]
Generated description
The Hénon map is a classic two-dimensional discrete-time dynamical system that exhibits chaotic behavior and is widely studied as a simple model of strange attractors in nonlinear dynamics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Henon map
Target entity description: The Hénon map is a classic two-dimensional discrete-time dynamical system that exhibits chaotic behavior and is widely studied as a simple model of strange attractors in nonlinear dynamics.
  • A. Arnold cat map
    The Arnold cat map is a famous example of a chaotic, area-preserving transformation on the torus that illustrates how simple deterministic rules can produce complex, seemingly random behavior.
  • B. Lorenz attractor
    The Lorenz attractor is a famous chaotic set arising from a simplified model of atmospheric convection, known for its butterfly-shaped trajectory and role as an early example of deterministic chaos in dynamical systems.
  • C. Lyapunov fractal
    The Lyapunov fractal is a complex, self-similar pattern arising from iterating logistic maps with periodically varying parameters, used to visualize stability and chaos in dynamical systems.
  • D. Smale horseshoe
    The Smale horseshoe is a fundamental example in dynamical systems theory that illustrates chaotic behavior through a specific stretching-and-folding map of a square into a horseshoe-shaped region.
  • E. Poincaré map
    The Poincaré map is a mathematical tool in dynamical systems theory that reduces continuous-time dynamics to a discrete map by tracking intersections of trajectories with a lower-dimensional surface.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69e245f8e6248190ba3d58e068b4dccb completed April 17, 2026, 2:38 p.m.
NER Named-entity recognition batch_69f18ecb72fc8190a24e8f5756217a36 completed April 29, 2026, 4:53 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0c308fd60c8190afd340bd74423220 completed May 19, 2026, 9:42 a.m.
NEDg Description generation batch_6a0c32dc646081909d3c36d089d61c00 completed May 19, 2026, 9:52 a.m.
NED2 Entity disambiguation (via description) batch_6a0c35636e908190ae11d96deb15e1f5 completed May 19, 2026, 10:03 a.m.
Created at: April 17, 2026, 4 p.m.