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Rotations and Integrability. / Цыганов, Андрей Владимирович.

In: Regular and Chaotic Dynamics, Vol. 29, No. 6, 03.12.2024, p. 913-930.

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

Harvard

Цыганов, АВ 2024, 'Rotations and Integrability', Regular and Chaotic Dynamics, vol. 29, no. 6, pp. 913-930. https://doi.org/10.1134/S1560354724060029

APA

Цыганов, А. В. (2024). Rotations and Integrability. Regular and Chaotic Dynamics, 29(6), 913-930. https://doi.org/10.1134/S1560354724060029

Vancouver

Цыганов АВ. Rotations and Integrability. Regular and Chaotic Dynamics. 2024 Dec 3;29(6):913-930. https://doi.org/10.1134/S1560354724060029

Author

Цыганов, Андрей Владимирович. / Rotations and Integrability. In: Regular and Chaotic Dynamics. 2024 ; Vol. 29, No. 6. pp. 913-930.

BibTeX

@article{bb241dac0064469992f792a4014338b3,
title = "Rotations and Integrability",
abstract = "We discuss some families of integrable and superintegrable systems in -dimensional Euclidean space which are invariant under rotations. The invariant Hamiltonian is integrable with integrals of motion and an additional integral ofmotion, which are first- and fourth-order polynomials in momenta, respectively.",
keywords = "rotations, superintegrable systems, symplectic reduction",
author = "Цыганов, {Андрей Владимирович}",
year = "2024",
month = dec,
day = "3",
doi = "10.1134/S1560354724060029",
language = "English",
volume = "29",
pages = "913--930",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "6",

}

RIS

TY - JOUR

T1 - Rotations and Integrability

AU - Цыганов, Андрей Владимирович

PY - 2024/12/3

Y1 - 2024/12/3

N2 - We discuss some families of integrable and superintegrable systems in -dimensional Euclidean space which are invariant under rotations. The invariant Hamiltonian is integrable with integrals of motion and an additional integral ofmotion, which are first- and fourth-order polynomials in momenta, respectively.

AB - We discuss some families of integrable and superintegrable systems in -dimensional Euclidean space which are invariant under rotations. The invariant Hamiltonian is integrable with integrals of motion and an additional integral ofmotion, which are first- and fourth-order polynomials in momenta, respectively.

KW - rotations

KW - superintegrable systems

KW - symplectic reduction

UR - https://www.mendeley.com/catalogue/d2639f85-0dd3-35c9-bec0-8d1918813d05/

U2 - 10.1134/S1560354724060029

DO - 10.1134/S1560354724060029

M3 - Article

VL - 29

SP - 913

EP - 930

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 6

ER -

ID: 128060408