On the isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion

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On the isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion. / Цыганов, Андрей Владимирович ; Порубов, Евгений Олегович.

в: Theoretical and Mathematical Physics, Том 227, № 2, 01.05.2026, стр. 845-862.

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

BibTeX

@article{f2f04ed6248e41d9931ac7517e8aaac0,

title = "On the isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion",

abstract = "Abstract: The theory of tensor invariants for ordinary differential equations and Cartan classification of simple Lie algebras are used to establish an isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion. We derived new polynomial and rational Poisson bivectors which are invariant either with respect to the pair of commuting phase flows or with respect to one of the pair of flows.",

keywords = "Poisson geometry, differential equations, tensor invariants",

author = "Цыганов, {Андрей Владимирович} and Порубов, {Евгений Олегович}",

year = "2026",

month = may,

day = "1",

doi = "10.1134/S0040577926050089",

language = "English",

volume = "227",

pages = "845--862",

journal = "Theoretical and Mathematical Physics (Russian Federation)",

issn = "0040-5779",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - On the isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion

AU - Цыганов, Андрей Владимирович

AU - Порубов, Евгений Олегович

PY - 2026/5/1

Y1 - 2026/5/1

N2 - Abstract: The theory of tensor invariants for ordinary differential equations and Cartan classification of simple Lie algebras are used to establish an isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion. We derived new polynomial and rational Poisson bivectors which are invariant either with respect to the pair of commuting phase flows or with respect to one of the pair of flows.

AB - Abstract: The theory of tensor invariants for ordinary differential equations and Cartan classification of simple Lie algebras are used to establish an isomorphism between the Kozlov problem on ferromagnetic motion in a magnetic field and the Schottky problem on four-dimensional solid motion. We derived new polynomial and rational Poisson bivectors which are invariant either with respect to the pair of commuting phase flows or with respect to one of the pair of flows.

KW - Poisson geometry

KW - differential equations

KW - tensor invariants

UR - https://www.mendeley.com/catalogue/2f2201e5-6036-3289-b7d0-d3593786547c/

U2 - 10.1134/S0040577926050089

DO - 10.1134/S0040577926050089

M3 - Article

VL - 227

SP - 845

EP - 862

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 2

ER -

ID: 154442759