Invariant Varieties of Periodic Points for the Discrete Euler Top

Details Invariant Varieties of Periodic Points for the Discrete Euler Top Invariant Varieties of Periodic Points for the Discrete Euler Top

2006-10-28

arxiv.org/abs/math-ph/0610083v3

SIGMA 2 (2006), 098, 10 pages

Physics

Mathematical Physics

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2006.098

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.

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