On tensor invariants of the Clebsch system
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914430576492544 |
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| author | Tsiganov, A. V. |
| author_facet | Tsiganov, A. V. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14867 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On tensor invariants of the Clebsch system Tsiganov, A. V. Exactly Solvable and Integrable Systems Mathematical Physics 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. |
| title | On tensor invariants of the Clebsch system |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2504.14867 |