Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 1, Pages 62–65 (Mi vmumm211)  
This article is cited in 4 scientific papers (total in 4 papers)

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Bifurcation diagrams of natural Hamiltonian systems on Bertrand manifolds

D. A. Fedoseev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (406 kB) Citations (4)
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Abstract: Bifurcation diagrams for natural integrable Hamiltonian systems on Bertrand manifolds (i.e., on configuration spaces of one inverse problem of dynamics) are constructed. Some properties of the corresponding Liuoville foliations are studied, namely, the compactness and the number of foliation components in the preimage under momentum map.
Key words: Bertrand's Riemannian manifold, surface of revolution, Hamiltonian systems, bifurcation diagram.
Funding agency Grant number
Government of the Russian Federation 11.G34.31.0054
Russian Foundation for Basic Research 13-01-00664-а
Ministry of Education and Science of the Russian Federation НШ-1410.2012.1
Received: 22.01.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 1, Pages 44–47
DOI: https://doi.org/10.3103/S002713221501009X
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: D. A. Fedoseev, “Bifurcation diagrams of natural Hamiltonian systems on Bertrand manifolds”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 1, 62–65; Moscow University Mathematics Bulletin, 70:1 (2015), 44–47
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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