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Sbornik: Mathematics, 2007, Volume 198, Issue 8, Pages 1119–1143
DOI: https://doi.org/10.1070/SM2007v198n08ABEH003876 (Mi sm3779) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Calculation of the Fomenko–Zieschang invariants in the Kovalevskaya–Yehia integrable case

P. V. Morozov

M. V. Lomonosov Moscow State University
English version PDF (839 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM2007v198n08ABEH003876
Abstract: All the Fomenko–Zieschang invariants are calculated in the Kovalevskaya–Yehia integrable case of the problem of the motion of a heavy gyrostat in a gravitational field; the topological classification of the non-degenerate equilibria of this system is obtained and the loop molecules of all the singularities are calculated.
Bibliography: 10 titles.
Received: 16.10.2006
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 8, Pages 59–82
DOI: https://doi.org/10.4213/sm3779
Bibliographic databases:
UDC: 517.938.5+514.762
MSC: Primary 37J35, 70E05, 70E40; Secondary 70H06
Language: English
Original paper language: Russian
Citation: P. V. Morozov, “Calculation of the Fomenko–Zieschang invariants in the Kovalevskaya–Yehia integrable case”, Mat. Sb., 198:8 (2007), 59–82; Sb. Math., 198:8 (2007), 1119–1143
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v198/i8/p59
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Russian version PDF:242
    English version PDF:7
    References:63
    First page:6
     
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