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Ott-Antonsen reduction for the non-Abelian Kuramoto model on the 3-sphere

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Vladimir Jacimovic, Ben Niu

Adaptation and Self-Organizing Systems · Submitted 14 May 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We establish an analogue (or an extension) of the Ott-Antonsen (OA) result for this model.

how it is stated · asserted 1.00 read the record →

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arXiv ID1905.05327 (version 2)
Pith IDUOU5QISI, Pith's permanent record of this paper and its review
CitationBen Niu, Vladimir Jacimovic. "Ott-Antonsen reduction for the non-Abelian Kuramoto model on the 3-sphere." arXiv:1905.05327 (2019). https://pith.science/paper/UOU5QISI
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,886 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.37 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We are interested in low-dimensional dynamics in an ensemble of coupled nonidentical generalized oscillators on the 3-sphere. The system of governing equations for such an ensemble is referred to as non-Abelian Kuramoto model in the literature. We establish an analogue (or an extension) of the Ott-Antonsen (OA) result for this model.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We are interested in low-dimensional dynamics in an ensemble of coupled nonidentical generalized oscillators on the 3-sphere. background 0.90 0.18 0.04 asserted 0.67
s1 The system of governing equations for such an ensemble is referred to as non-Abelian Kuramoto model in the literature. background 1.00 0.05 0.03 asserted 1.00
s2 We establish an analogue (or an extension) of the Ott-Antonsen (OA) result for this model. contribution 0.81 0.95 0.85 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We are interested in low-dimensional dynamics in an ensemble of coupled nonidentical generalized oscillators on the 3-sphere. The system of governing equations for such an ensemble is referred to as non-Abelian Kuramoto model in the literature. We establish an analogue (or an extension) of the Ott-Antonsen (OA) result for this model.

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