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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Publication Details

Journal
Regular and Chaotic Dynamics
Published
2025-08-01
DOI
https://doi.org/10.1134/s1560354725040185
Primary Topic
Numerical methods for differential equations
Type
article
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article

On Tensor Invariants of the Clebsch System

A. V. Tsiganov
Regular and Chaotic Dynamics
Numerical methods for differential equations
article

On Tensor Invariants of the Clebsch System

A. V. Tsiganov
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.

Regular and Chaotic DynamicsVol. 30(4)
Russian Academy of Sciences (RU), Steklov Mathematical Institute (RU)
Openalex Percentile: Top 69%
Numerical methods for differential equations
DOISourceOpenAlex
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On Tensor Invariants of the Clebsch System — A. V. Tsiganov · Regular and Chaotic Dynamics (2025) | TGRS Research Map | TGRS