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SIGMA 2 (2006), 098, 10 pages math-ph/0610083
https://doi.org/10.3842/SIGMA.2006.098
Contribution to the Vadim Kuznetsov Memorial Issue
Invariant Varieties of Periodic Points for the Discrete Euler Top
Satoru Saito a and 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
Received October 28, 2006, in final form
December 16, 2006; Published online December 30, 2006
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.
Key words:
invariant varieties of periodic points; discrete Euler top; integrable map.
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