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Invariant Varieties of Periodic Points for the Discrete Euler Top

Satoru Saito, Noriko Saitoh

math-pharXiv:math-ph/0610083

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.

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