On tensor invariants of the Clebsch system

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.

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Journal
ArXiv.org
Published
2025-04-21
Primary Topic
Atmospheric chemistry and aerosols
Type
article
Field-Weighted Citation Impact
0.00

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article

On tensor invariants of the Clebsch system

ArXiv.org
Atmospheric chemistry and aerosols
article

On tensor invariants of the Clebsch system

article en

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.

ArXiv.org
Steklov Mathematical Institute (RU)
Russian Science Foundation, Russian Academy of Sciences
Openalex Percentile: Top 44%
Atmospheric chemistry and aerosols
Open Access PDFOpenAlex
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On tensor invariants of the Clebsch system · ArXiv.org (2025) | TGRS Research Map | TGRS