Invariant Varieties of Periodic Points for the Discrete Euler Top

Satoru Saito; Noriko Saitoh

doi:10.3842/SIGMA.2006.098

Invariant Varieties of Periodic Points for the Discrete Euler Top

Mathematical Physics 2008-04-24 v3 math.MP Exactly Solvable and Integrable Systems

Authors: Satoru Saito , Noriko Saitoh

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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

discrete euler top periodic points invariant varieties axial symmetry angular velocity

Cite

@article{arxiv.math-ph/0610083,
  title  = {Invariant Varieties of Periodic Points for the Discrete Euler Top},
  author = {Satoru Saito and Noriko Saitoh},
  journal= {arXiv preprint arXiv:math-ph/0610083},
  year   = {2008}
}

Comments

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Invariant Varieties of Periodic Points for the Discrete Euler Top

Abstract

Keywords

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