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On the Steklov-Lyapunov case of the rigid body motion. / Tsiganov, A. V.

In: Regular and Chaotic Dynamics, Vol. 9, No. 2, 2004, p. 77-89.

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

Harvard

Tsiganov, AV 2004, 'On the Steklov-Lyapunov case of the rigid body motion', Regular and Chaotic Dynamics, vol. 9, no. 2, pp. 77-89. https://doi.org/10.1070/RD2004v009n02ABEH000267

APA

Tsiganov, A. V. (2004). On the Steklov-Lyapunov case of the rigid body motion. Regular and Chaotic Dynamics, 9(2), 77-89. https://doi.org/10.1070/RD2004v009n02ABEH000267

Vancouver

Tsiganov AV. On the Steklov-Lyapunov case of the rigid body motion. Regular and Chaotic Dynamics. 2004;9(2):77-89. https://doi.org/10.1070/RD2004v009n02ABEH000267

Author

Tsiganov, A. V. / On the Steklov-Lyapunov case of the rigid body motion. In: Regular and Chaotic Dynamics. 2004 ; Vol. 9, No. 2. pp. 77-89.

BibTeX

@article{bae3c61afb3c4028a9b3734ca0d0bfa7,
title = "On the Steklov-Lyapunov case of the rigid body motion",
abstract = "We construct a Poisson map between manifolds with linear Poisson brackets corresponding to the two samples of Lie algebra e(3). Using this map we establish equivalence of the Steklov-Lyapunov system and the motion of a particle on the surface of the sphere under the influence of the fourth order potential. To study separation of variables for the Steklov case on the Lie algebra so(4) we use the twisted Poisson map between the bi-Hamiltonian manifolds e(3) and so(4).",
author = "Tsiganov, {A. V.}",
year = "2004",
doi = "10.1070/RD2004v009n02ABEH000267",
language = "English",
volume = "9",
pages = "77--89",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2",

}

RIS

TY - JOUR

T1 - On the Steklov-Lyapunov case of the rigid body motion

AU - Tsiganov, A. V.

PY - 2004

Y1 - 2004

N2 - We construct a Poisson map between manifolds with linear Poisson brackets corresponding to the two samples of Lie algebra e(3). Using this map we establish equivalence of the Steklov-Lyapunov system and the motion of a particle on the surface of the sphere under the influence of the fourth order potential. To study separation of variables for the Steklov case on the Lie algebra so(4) we use the twisted Poisson map between the bi-Hamiltonian manifolds e(3) and so(4).

AB - We construct a Poisson map between manifolds with linear Poisson brackets corresponding to the two samples of Lie algebra e(3). Using this map we establish equivalence of the Steklov-Lyapunov system and the motion of a particle on the surface of the sphere under the influence of the fourth order potential. To study separation of variables for the Steklov case on the Lie algebra so(4) we use the twisted Poisson map between the bi-Hamiltonian manifolds e(3) and so(4).

UR - http://www.scopus.com/inward/record.url?scp=34247224206&partnerID=8YFLogxK

U2 - 10.1070/RD2004v009n02ABEH000267

DO - 10.1070/RD2004v009n02ABEH000267

M3 - Article

AN - SCOPUS:34247224206

VL - 9

SP - 77

EP - 89

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 2

ER -

ID: 8483831