O. I. Bogoyavlenskii, “Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics”, Russian Math. Surveys, 47:1 (1992), 117

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Russian Mathematical Surveys, 1992, Volume 47, Issue 1, Pages 117–189
DOI: https://doi.org/10.1070/RM1992v047n01ABEH000863 (Mi rm4472)

This article is cited in 15 scientific papers (total in 15 papers)

Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics

O. I. Bogoyavlenskii

Steklov Mathematical Institute, Russian Academy of Sciences

English version PDF (3489 kB) Citations (15) Russian version article

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DOI: https://doi.org/10.1070/RM1992v047n01ABEH000863

Received: 17.10.1991

Bibliographic databases:

Document Type: Article

UDC: 539.2

MSC: 16W30, 37J35, 37K05, 70Exx, 70H06

Language: English

Original paper language: Russian

Citation: O. I. Bogoyavlenskii, “Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics”, Russian Math. Surveys, 47:1 (1992), 117–189

Citation in format AMSBIB

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\by O.~I.~Bogoyavlenskii

\paper Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics

\jour Russian Math. Surveys

\yr 1992

\vol 47

\issue 1

\pages 117--189

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Linking options:

https://www.mathnet.ru/eng/rm4472

https://doi.org/10.1070/RM1992v047n01ABEH000863

https://www.mathnet.ru/eng/rm/v47/i1/p107

This publication is cited in the following 15 articles:

Sean R. Dawson, Holger R. Dullin, Diana M.H. Nguyen, “The Harmonic Lagrange Top and the Confluent Heun Equation”, Regul. Chaotic Dyn., 27:4 (2022), 443–459
M.V.. SHAMOLIN, “VARIETY OF THE CASES OF INTEGRABILITY IN DYNAMICS OF A SYMMETRIC 2D-, 3D- AND 4D-RIGID BODY IN A NONCONSERVATIVE FIELD”, Int. J. Str. Stab. Dyn, 2013, 1340011
Yu.B. Suris, Lecture Notes in Physics, 644, Discrete Integrable Systems, 2004, 111
E. I. Bogdanov, “Integrable Systems on Phase Spaces with a Nonflat Metric”, Theoret. and Math. Phys., 129:3 (2001), 1618–1630
Yuri B Suris, “Integrable Discretizations of Some Cases of the Rigid Body Dynamics”, Journal of Nonlinear Mathematical Physics, 8:4 (2001), 534
Yongtang Wu, Dianlou Du, “On the Lie–Poisson structure of the nonlinearized discrete eigenvalue problem”, J Math Phys (N Y ), 41:8 (2000), 5832
Dianlou Du, Cewen Cao, Yong-Tang Wu, “The nonlinearized eigenvalue problem of the Toda hierarchy in the Lie–Poisson framework”, Physica A: Statistical Mechanics and its Applications, 285:3-4 (2000), 332
A. R. Galper, T. Miloh, “Hydrodynamics and stability of a deformable body moving in the proximity of interfaces”, Phys Fluids, 11:4 (1999), 795
Andrzej J. Maciejewski, Hamiltonian Systems with Three or More Degrees of Freedom, 1999, 475
Andrzej J. Maciejewski, Sasho I. Popov, “Invariants of homogeneous ordinary differential equations”, Reports on Mathematical Physics, 41:3 (1998), 287
Andrzej J. Maciejewski, “Reduction, relative equilibria and potential in the two rigid bodies problem”, Celestial Mech Dyn Astr, 63:1 (1995), 1
Andrzej J. Maciejewski, NATO ASI Series, 336, From Newton to Chaos, 1995, 503
E. I. Bogdanov, “Spatially distributed classical Lagrangian mechanics”, Theoret. and Math. Phys., 101:3 (1994), 1419–1421
O. I. Bogoyavlenskij, “General integrable problems of classical mechanics”, Commun.Math. Phys., 153:1 (1993), 23
O. I. Bogoyavlenskii, “Integrable problems of the dynamics of coupled rigid bodies”, Russian Acad. Sci. Izv. Math., 41:3 (1993), 395–416

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	729
Russian version PDF:	268
English version PDF:	33
References:	100
First page:	3

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