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Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid. / Цыганов, Андрей Владимирович.

в: Regular and Chaotic Dynamics, Том 28, № 6, 01.11.2023.

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

Harvard

Цыганов, АВ 2023, 'Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid', Regular and Chaotic Dynamics, Том. 28, № 6. https://doi.org/10.1134/S1560354723520088

APA

Цыганов, А. В. (2023). Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid. Regular and Chaotic Dynamics, 28(6). https://doi.org/10.1134/S1560354723520088

Vancouver

Цыганов АВ. Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid. Regular and Chaotic Dynamics. 2023 Нояб. 1;28(6). https://doi.org/10.1134/S1560354723520088

Author

Цыганов, Андрей Владимирович. / Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid. в: Regular and Chaotic Dynamics. 2023 ; Том 28, № 6.

BibTeX

@article{3f6de7c215ff4cb2a5b37c801c24527a,
title = "Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid",
abstract = "Affine transformations in Euclidean space generate a correspondence between integrable systemson cotangent bundles to a sphere, ellipsoid and hyperboloid embedded in R^n . Using thiscorrespondence and the suitable coupling constant transformations, we can get real integrals of motion in the hyperboloid case starting with real integrals of motion in the sphere case. We discuss a few such integrable systems with invariants which are cubic, quartic and sextic polynomials in momenta.",
keywords = "Dirac brackets, completely integrable systems",
author = "Цыганов, {Андрей Владимирович}",
year = "2023",
month = nov,
day = "1",
doi = "10.1134/S1560354723520088",
language = "English",
volume = "28",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "6",

}

RIS

TY - JOUR

T1 - Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid

AU - Цыганов, Андрей Владимирович

PY - 2023/11/1

Y1 - 2023/11/1

N2 - Affine transformations in Euclidean space generate a correspondence between integrable systemson cotangent bundles to a sphere, ellipsoid and hyperboloid embedded in R^n . Using thiscorrespondence and the suitable coupling constant transformations, we can get real integrals of motion in the hyperboloid case starting with real integrals of motion in the sphere case. We discuss a few such integrable systems with invariants which are cubic, quartic and sextic polynomials in momenta.

AB - Affine transformations in Euclidean space generate a correspondence between integrable systemson cotangent bundles to a sphere, ellipsoid and hyperboloid embedded in R^n . Using thiscorrespondence and the suitable coupling constant transformations, we can get real integrals of motion in the hyperboloid case starting with real integrals of motion in the sphere case. We discuss a few such integrable systems with invariants which are cubic, quartic and sextic polynomials in momenta.

KW - Dirac brackets

KW - completely integrable systems

UR - https://www.mendeley.com/catalogue/d8dee31d-7d02-3411-a970-7a6da3c82f01/

U2 - 10.1134/S1560354723520088

DO - 10.1134/S1560354723520088

M3 - Article

VL - 28

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 6

ER -

ID: 108163651