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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 098, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.098 (Mi sigma126) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Invariant Varieties of Periodic Points for the Discrete Euler Top

Satoru Saitoa, Noriko Saitohb

a Hakusan 4-19-10, Midori-ku, Yokohama 226-0006, Japan
b Applied Mathematics, Yokohama National University, Hodogaya-ku, Yokohama 240-8501, Japan
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DOI: https://doi.org/10.3842/SIGMA.2006.098
Abstract: The behaviour of periodic points of discrete Euler top is studied. We derive invariant varieties of periodic points explicitly. When the top is axially symmetric they are specified by some particular values of the angular velocity along the axis of symmetry, different for each period.
Keywords: invariant varieties of periodic points; discrete Euler top; integrable map.
Received: October 28, 2006; in final form December 16, 2006; Published online December 30, 2006
Bibliographic databases:
Document Type: Article
MSC: 14J81; 39A11; 70E40
Language: English
Citation: Satoru Saito, Noriko Saitoh, “Invariant Varieties of Periodic Points for the Discrete Euler Top”, SIGMA, 2 (2006), 098, 10 pp.
Citation in format AMSBIB
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\by Satoru Saito, Noriko Saitoh
\paper Invariant Varieties of Periodic Points for the Discrete Euler Top
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