On discretization of the Euler top
Exactly Solvable and Integrable Systems
2018-12-26 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
Application of the intersection theory to construction of n-point finite-difference equations associated with classical integrable systems is discussed. As an example, we present a few new discretizations of motion of the Euler top sharing the integrals of motion with the continuous time system and the Poisson bracket up to the integer scaling factor.
Cite
@article{arxiv.1803.06511,
title = {On discretization of the Euler top},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:1803.06511},
year = {2018}
}
Comments
12 pages, 2 figures, LaTeX with AMS fonts, version with corrected misprints