Triple

T16299420
Position Surface form Disambiguated ID Type / Status
Subject Philip Holmes E395742 entity
Predicate hasWritten P2831 FINISHED
Object Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
"Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields" is a foundational graduate-level textbook that systematically develops the theory and applications of nonlinear dynamical systems, including oscillations, stability, and bifurcation phenomena.
E1206170 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: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields | Statement: [Philip Holmes, hasWritten, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Context triple: [Philip Holmes, hasWritten, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields]
  • A. Nonlinear Dynamics and Chaos
    Nonlinear Dynamics and Chaos is a widely used textbook by Steven Strogatz that introduces the theory and applications of nonlinear systems, emphasizing qualitative analysis, bifurcations, and chaotic behavior in real-world phenomena.
  • B. Bogoliubov–Mitropolsky asymptotic methods in nonlinear oscillations
    "Bogoliubov–Mitropolsky Asymptotic Methods in Nonlinear Oscillations" is a classic mathematical monograph that develops systematic asymptotic techniques for analyzing and approximating solutions of nonlinear oscillatory systems.
  • C. On a General Method in Dynamics
    "On a General Method in Dynamics" is a foundational 19th-century paper by William Rowan Hamilton that introduced Hamiltonian mechanics, reformulating classical dynamics in terms of generalized coordinates and conjugate momenta.
  • D. Chaos in Classical and Quantum Mechanics
    "Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
  • E. Inners and Stability of Dynamic Systems
    "Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
  • 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: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Triple: [Philip Holmes, hasWritten, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields]
Generated description
"Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields" is a foundational graduate-level textbook that systematically develops the theory and applications of nonlinear dynamical systems, including oscillations, stability, and bifurcation phenomena.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Target entity description: "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields" is a foundational graduate-level textbook that systematically develops the theory and applications of nonlinear dynamical systems, including oscillations, stability, and bifurcation phenomena.
  • A. Nonlinear Dynamics and Chaos
    Nonlinear Dynamics and Chaos is a widely used textbook by Steven Strogatz that introduces the theory and applications of nonlinear systems, emphasizing qualitative analysis, bifurcations, and chaotic behavior in real-world phenomena.
  • B. Bogoliubov–Mitropolsky asymptotic methods in nonlinear oscillations
    "Bogoliubov–Mitropolsky Asymptotic Methods in Nonlinear Oscillations" is a classic mathematical monograph that develops systematic asymptotic techniques for analyzing and approximating solutions of nonlinear oscillatory systems.
  • C. On a General Method in Dynamics
    "On a General Method in Dynamics" is a foundational 19th-century paper by William Rowan Hamilton that introduced Hamiltonian mechanics, reformulating classical dynamics in terms of generalized coordinates and conjugate momenta.
  • D. Chaos in Classical and Quantum Mechanics
    "Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
  • E. Inners and Stability of Dynamic Systems
    "Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
  • 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_69d87f23bb088190a16fbb91a1957ea5 completed April 10, 2026, 4:40 a.m.
NER Named-entity recognition batch_69e25e30ee288190b78807b60cb18e22 completed April 17, 2026, 4:22 p.m.
NED1 Entity disambiguation (via context triple) batch_6a001f9d7ef48190b7acebebcb9608c3 completed May 10, 2026, 6:03 a.m.
NEDg Description generation batch_6a0021459c4081908e4c1d2e0bc8a5be completed May 10, 2026, 6:10 a.m.
NED2 Entity disambiguation (via description) batch_6a002221fe7c819083c8ede5e63b0908 completed May 10, 2026, 6:13 a.m.
Created at: April 10, 2026, 5:06 a.m.