Some remarkable autonomous systems
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909147226701824 |
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| author | Wone, Oumar |
| author_facet | Wone, Oumar |
| contents | We study the links of the Darboux-Halphen-Ramanujan system, with contact geometry, canonical coordinates of some $3$-dimensional Frobenius manifolds and projective connections on Riemann surfaces. One of our important goals is to highlight the role of contact geometry in this setting. We also study autonomous systems "derived" from the potential given by the Group-determinant, of any cyclic group $\Z/n\Z$, $n\geqslant3$, and the Klein group $\Z/2\Z\times\Z/2\Z$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_12486 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some remarkable autonomous systems Wone, Oumar Differential Geometry 53Z05, 53D45, 14H52, 34M45, 34M15, 34C20 We study the links of the Darboux-Halphen-Ramanujan system, with contact geometry, canonical coordinates of some $3$-dimensional Frobenius manifolds and projective connections on Riemann surfaces. One of our important goals is to highlight the role of contact geometry in this setting. We also study autonomous systems "derived" from the potential given by the Group-determinant, of any cyclic group $\Z/n\Z$, $n\geqslant3$, and the Klein group $\Z/2\Z\times\Z/2\Z$. |
| title | Some remarkable autonomous systems |
| topic | Differential Geometry 53Z05, 53D45, 14H52, 34M45, 34M15, 34C20 |
| url | https://arxiv.org/abs/2302.12486 |