On the Darboux-Halphen system: Jacobi vs Lie
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918499646963712 |
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| author | Tsiganov, A. V. |
| author_facet | Tsiganov, A. V. |
| contents | Two constructions of the Darboux-Halphen system are discussed. In the Jacobi construction we start with multi-valued functions which are fixed as the first integrals. In the Lie construction we use single-valued representation of the simple algebra which is non-integrable in Lie's terminology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13463 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Darboux-Halphen system: Jacobi vs Lie Tsiganov, A. V. Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems Two constructions of the Darboux-Halphen system are discussed. In the Jacobi construction we start with multi-valued functions which are fixed as the first integrals. In the Lie construction we use single-valued representation of the simple algebra which is non-integrable in Lie's terminology. |
| title | On the Darboux-Halphen system: Jacobi vs Lie |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2605.13463 |