A. V. Bolsinov, A. T. Fomenko, “Integrable geodesic flows on the sphere, generated by Goryachev–Chaplygin and Kowalewski systems in the dynamics of a rigid body”, Mat. Zametki, 56:2 (1994), 139–142; Math. Notes, 56:2 (1994), 859

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Matematicheskie Zametki, 1994, Volume 56, Issue 2, Pages 139–142 (Mi mzm2248)

This article is cited in 13 scientific papers (total in 13 papers)

Brief Communications

Integrable geodesic flows on the sphere, generated by Goryachev–Chaplygin and Kowalewski systems in the dynamics of a rigid body

A. V. Bolsinov, A. T. Fomenko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (610 kB) Citations (13)

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Received: 14.03.1994

English version:
Mathematical Notes, 1994, Volume 56, Issue 2, Pages 859–861
DOI: https://doi.org/10.1007/BF02110747

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. V. Bolsinov, A. T. Fomenko, “Integrable geodesic flows on the sphere, generated by Goryachev–Chaplygin and Kowalewski systems in the dynamics of a rigid body”, Mat. Zametki, 56:2 (1994), 139–142; Math. Notes, 56:2 (1994), 859–861

Citation in format AMSBIB

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\pages 139--142

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\jour Math. Notes

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\crossref{https://doi.org/10.1007/BF02110747}

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Linking options:

https://www.mathnet.ru/eng/mzm2248

https://www.mathnet.ru/eng/mzm/v56/i2/p139

This publication is cited in the following 13 articles:

JOSCHA HENHEIK, “Deformational rigidity of integrable metrics on the torus”, Ergod. Th. Dynam. Sys., 2024, 1
S.E. Pustovoitov, “Classification of Singularities of the Liouville Foliation of an Integrable Elliptical Billiard with a Potential of Fourth Degree”, Russ. J. Math. Phys., 30:4 (2023), 643
A. T. Fomenko, V. V. Vedyushkina, “Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results”, Theor. Appl. Mech., 46:1 (2019), 47–63
V. V. Vedyushkina, A. T. Fomenko, “Reducing the Degree of Integrals of Hamiltonian Systems by Using Billiards”, Dokl. Math., 99:3 (2019), 266
E. A. Kudryavtseva, D. A. Fedoseev, “The Bertrand's manifolds with equators”, Moscow University Mathematics Bulletin, 71:1 (2016), 23–26
E. A. Kudryavtseva, D. A. Fedoseev, “Mechanical systems with closed orbits on manifolds of revolution”, Sb. Math., 206:5 (2015), 718–737
M. P. Kharlamov, P. E. Ryabov, “Topological atlas of the Kovalevskaya top in a double field”, J. Math. Sci., 223:6 (2017), 775–809
A. T. Fomenko, E. O. Kantonistova, Studies in Systems, Decision and Control, 30, Continuous and Distributed Systems II, 2015, 11
P. E. Ryabov, M. P. Kharlamov, “Classification of singularities in the problem of motion of the Kovalevskaya top in a double force field”, Sb. Math., 203:2 (2012), 257–287
G.W. Gibbons, T. Houri, D. Kubizňák, C.M. Warnick, “Some spacetimes with higher rank Killing–Stäckel tensors”, Physics Letters B, 700:1 (2011), 68
Misha Bialy, Andrey E Mironov, “Cubic and quartic integrals for geodesic flow on 2-torus via a system of the hydrodynamic type”, Nonlinearity, 24:12 (2011), 3541
G. W. Gibbons, C. Rugina, “Goryachev-Chaplygin, Kovalevskaya, and Brdička-Eardley-Nappi-Witten pp-waves spacetimes with higher rank Stäckel-Killing tensors”, Journal of Mathematical Physics, 52:12 (2011)
A. V. Bolsinov, V. V. Kozlov, A. T. Fomenko, “The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body”, Russian Math. Surveys, 50:3 (1995), 473–501

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

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