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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 012, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.012 (Mi sigma689) 		 
This article is cited in 5 scientific papers (total in 5 papers)

New variables of separation for the Steklov–Lyapunov system

Andrey V. Tsiganov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (379 kB) Citations (5)
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DOI: https://doi.org/10.3842/SIGMA.2012.012
Abstract: A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra $e(3)=so(3)\ltimes\mathbb R^3$. We present the bi-Hamiltonian structure and the corresponding variables of separation on this phase space for the Steklov–Lyapunov system and it's gyrostatic deformation.
Keywords: bi-Hamiltonian geometry, variables of separation.
Received: October 31, 2011; in final form March 12, 2012; Published online March 20, 2012
Bibliographic databases:
Document Type: Article
MSC: 70H20; 70H06; 37K10
Language: English
Citation: Andrey V. Tsiganov, “New variables of separation for the Steklov–Lyapunov system”, SIGMA, 8 (2012), 012, 14 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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