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On the Darboux-Halphen system: Jacobi vs Lie. / Цыганов, Андрей Владимирович.

In: Journal of Geometry and Physics, Vol. 228, 105914, 01.10.2026.

Research output: Contribution to journal › Article › peer-review

Harvard

Цыганов, АВ 2026, 'On the Darboux-Halphen system: Jacobi vs Lie', Journal of Geometry and Physics, vol. 228, 105914. https://doi.org/10.1016/j.geomphys.2026.105914

APA

Цыганов, А. В. (2026). On the Darboux-Halphen system: Jacobi vs Lie. Journal of Geometry and Physics, 228, [105914]. https://doi.org/10.1016/j.geomphys.2026.105914

Vancouver

Цыганов АВ. On the Darboux-Halphen system: Jacobi vs Lie. Journal of Geometry and Physics. 2026 Oct 1;228. 105914. https://doi.org/10.1016/j.geomphys.2026.105914

Author

Цыганов, Андрей Владимирович. / On the Darboux-Halphen system: Jacobi vs Lie. In: Journal of Geometry and Physics. 2026 ; Vol. 228.

BibTeX

@article{1c3354f620a5467dadcd904ebab4347c,
title = "On the Darboux-Halphen system: Jacobi vs Lie",
abstract = "Two constructions of the Darboux-Halphen system are discussed. In the Jacobi construction we start with transcendental functions which are fixed as the first integrals. In the Lie construction we use a single-valued representation of the simple Lie algebra sl(2,R) which is non-integrable in Lie's terminology.",
keywords = "Darboux-Halphen system, Integrable systems, Multivalued first integrals, Simple Lie algebra sl(2)",
author = "Цыганов, {Андрей Владимирович}",
year = "2026",
month = oct,
day = "1",
doi = "10.1016/j.geomphys.2026.105914",
language = "English",
volume = "228",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On the Darboux-Halphen system: Jacobi vs Lie

AU - Цыганов, Андрей Владимирович

PY - 2026/10/1

Y1 - 2026/10/1

N2 - Two constructions of the Darboux-Halphen system are discussed. In the Jacobi construction we start with transcendental functions which are fixed as the first integrals. In the Lie construction we use a single-valued representation of the simple Lie algebra sl(2,R) which is non-integrable in Lie's terminology.

AB - Two constructions of the Darboux-Halphen system are discussed. In the Jacobi construction we start with transcendental functions which are fixed as the first integrals. In the Lie construction we use a single-valued representation of the simple Lie algebra sl(2,R) which is non-integrable in Lie's terminology.

KW - Darboux-Halphen system

KW - Integrable systems

KW - Multivalued first integrals

KW - Simple Lie algebra sl(2)

UR - https://www.mendeley.com/catalogue/830a70c4-51a2-3593-b35c-ba9d4f21439f/

U2 - 10.1016/j.geomphys.2026.105914

DO - 10.1016/j.geomphys.2026.105914

M3 - Article

VL - 228

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

M1 - 105914

ER -

ID: 155910367