Invariant Varieties of Periodic Points for the Discrete Euler Top

Invariant Varieties of Periodic Points for the Discrete Euler Top

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.

Bibliographic Details
Main Authors: Satoru Saito, Noriko Saitoh
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
invariant varieties of periodic points
discrete Euler top
integrable map
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper098/
Description
Summary: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.
ISSN:1815-0659

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