On tensor invariants of the Clebsch system
Exactly Solvable and Integrable Systems
2026-03-31 v1 Mathematical Physics
math.MP
Abstract
We present some new Poisson bivectors that are invariants by the Clebsch system flow. Symplectic integrators on their symplectic leaves exactly preserve the corresponding Casimir functions, which have different physical meanings. The Kahan discretization of the Clebsch system is discussed briefly.
Cite
@article{arxiv.2504.14867,
title = {On tensor invariants of the Clebsch system},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:2504.14867},
year = {2026}
}
Comments
22 pages, LaTeX with AMS fonts