Satoru Saito, Noriko Saitoh, “Invariant Varieties of Periodic Points for the Discrete Euler Top”, SIGMA, 2006, Volume 2,098, 10 pp.

This article is cited in 6 papers

Invariant Varieties of Periodic Points for the Discrete Euler Top

Satoru Saito^a, Noriko Saitoh^b

^a Hakusan 4-19-10, Midori-ku, Yokohama 226-0006, Japan
^b Applied Mathematics, Yokohama National University, Hodogaya-ku, Yokohama 240-8501, Japan

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.

MSC: 14J81; 39A11; 70E40

Received: October 28, 2006; in final form December 16, 2006; Published online December 30, 2006

Language: English

DOI: 10.3842/SIGMA.2006.098