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On Tensor Invariants of the Clebsch System. / Цыганов, Андрей Владимирович.

в: Regular and Chaotic Dynamics, Том 30, № 4, 01.08.2025, стр. 742-764.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Цыганов, АВ 2025, 'On Tensor Invariants of the Clebsch System', Regular and Chaotic Dynamics, Том. 30, № 4, стр. 742-764. https://doi.org/10.1134/S1560354725040185

APA

Цыганов, А. В. (2025). On Tensor Invariants of the Clebsch System. Regular and Chaotic Dynamics, 30(4), 742-764. https://doi.org/10.1134/S1560354725040185

Vancouver

Цыганов АВ. On Tensor Invariants of the Clebsch System. Regular and Chaotic Dynamics. 2025 Авг. 1;30(4):742-764. https://doi.org/10.1134/S1560354725040185

Author

Цыганов, Андрей Владимирович. / On Tensor Invariants of the Clebsch System. в: Regular and Chaotic Dynamics. 2025 ; Том 30, № 4. стр. 742-764.

BibTeX

@article{cf38a7dc2abd4bd39b81d8c18de31b02,
title = "On Tensor Invariants of the Clebsch System",
abstract = "We present some new Poisson bivectors that are invariants by the Clebsch system flow. Symplectic integrators on their symplectic leaves exactly preserve the corresponding Casimir functions, which have different physical meanings. The Kahan discretization of the Clebsch system is discussed briefly.",
keywords = "integrable systems, rigid body motion, tensor invariants",
author = "Цыганов, {Андрей Владимирович}",
year = "2025",
month = aug,
day = "1",
doi = "10.1134/S1560354725040185",
language = "русский",
volume = "30",
pages = "742--764",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "4",

}

RIS

TY - JOUR

T1 - On Tensor Invariants of the Clebsch System

AU - Цыганов, Андрей Владимирович

PY - 2025/8/1

Y1 - 2025/8/1

N2 - We present some new Poisson bivectors that are invariants by the Clebsch system flow. Symplectic integrators on their symplectic leaves exactly preserve the corresponding Casimir functions, which have different physical meanings. The Kahan discretization of the Clebsch system is discussed briefly.

AB - We present some new Poisson bivectors that are invariants by the Clebsch system flow. Symplectic integrators on their symplectic leaves exactly preserve the corresponding Casimir functions, which have different physical meanings. The Kahan discretization of the Clebsch system is discussed briefly.

KW - integrable systems

KW - rigid body motion

KW - tensor invariants

UR - https://rcd.ics.org.ru/S1560354725040185/

UR - https://www.mendeley.com/catalogue/6fd95b2d-382d-3810-a95f-6c6134cc31fb/

U2 - 10.1134/S1560354725040185

DO - 10.1134/S1560354725040185

M3 - статья

VL - 30

SP - 742

EP - 764

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 4

ER -

ID: 140086041