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Sbornik: Mathematics, 2014, Volume 205, Issue 7, Pages 1024–1044
DOI: https://doi.org/10.1070/SM2014v205n07ABEH004408 (Mi sm8297) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The phase topology of a special case of Goryachev integrability in rigid body dynamics

P. E. Ryabov

Financial University under the Government of the Russian Federation, Moscow
English version PDF (610 kB) Citations (6) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2014v205n07ABEH004408
Abstract: The phase topology of a special case of Goryachev integrability in the problem of motion of a rigid body in a fluid is investigated using the method of Boolean functions, which was developed by Kharlamov for algebraically separated systems. The bifurcation diagram of the moment map is found and the Fomenko invariant, which classifies the systems up to rough Liouville equivalence, is specified.
Bibliography: 15 titles.
Keywords: Kirchhoff's equations, completely integrable Hamiltonian systems, algebraic separation of variables, bifurcation diagram, bifurcations of Liouville tori.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00119
Government of the Volgograd region 13-01-97025
Received: 06.11.2013
Bibliographic databases:
Document Type: Article
UDC: 514.853+517.938.5
MSC: 37J35, 37N10
Language: English
Original paper language: Russian
Citation: P. E. Ryabov, “The phase topology of a special case of Goryachev integrability in rigid body dynamics”, Sb. Math., 205:7 (2014), 1024–1044
Citation in format AMSBIB
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\paper The phase topology of a~special case of Goryachev integrability in rigid body dynamics
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\vol 205
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  • https://doi.org/10.1070/SM2014v205n07ABEH004408
  • https://www.mathnet.ru/eng/sm/v205/i7/p115
    • This publication is cited in the following 6 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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    Abstract page:560
    Russian version PDF:191
    English version PDF:16
    References:91
    First page:49
     
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