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Invariant Varieties of Periodic Points for the Discrete Euler Top

2006/10/31 by Satoru Saito, Noriko Saitoh
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #math-ph #math.MP #msc:14J81 #msc:39A11 #msc:70E40 #nlin.SI

paper · pdf · doi:10.3842/sigma.2006.098

published as SIGMA 2 (2006), 098, 10 pages · 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/

arxiv created 2006/12/30 · openalex publication_date 2006/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations