Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 4, Pages 6–17 (Mi vmumm330)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Integer lattices of action-angle variables for “spherical pendulum” system

E. O. Kantonistova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (591 kB) Citations (3)
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Abstract: In this paper we study the topology of a “spherical pendulum” system and construct the lattice generated by lines of integer levels of action variables for this system. We describe an algorithm for computing numerical marks of Fomenko–Zieschang invariant and monodromy matrices using these lattices. We apply this algorithm to a “spherical pendulum” system.
Key words: Hamiltonian monodromy, action variables, integrable Hamiltonian systems, rigid body, Fomenko–Zieschang invariant.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.740.11.0794
Received: 20.06.2012
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 4, Pages 135–147
DOI: https://doi.org/10.3103/S0027132214040019
Bibliographic databases:
Document Type: Article
UDC: 514.8
Language: Russian
Citation: E. O. Kantonistova, “Integer lattices of action-angle variables for “spherical pendulum” system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4, 6–17; Moscow University Mathematics Bulletin, 69:4 (2014), 135–147
Citation in format AMSBIB
\Bibitem{Kan14}
\by E.~O.~Kantonistova
\paper Integer lattices of action-angle variables for ``spherical pendulum'' system
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 4
\pages 6--17
\mathnet{http://mi.mathnet.ru/vmumm330}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3372781}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 4
\pages 135--147
\crossref{https://doi.org/10.3103/S0027132214040019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84926642021}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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