Darboux theory of integrability on the Clifford n-dimensional torus
For the polynomial vector fields on a Clifford n-dimensional torus, we develop a Darboux theory of integrability. Moreover, we study the optimal maximum number of invariant meridians in terms of the degree of the polynomial vector field.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:299747 |
| Acceso en línea: | https://ddd.uab.cat/record/299747 https://dx.doi.org/urn:doi:10.1016/j.bulsci.2024.103403 |
| Access Level: | acceso abierto |
| Palabra clave: | Darboux integrability Clifford torus Invariant algebraic variety Exponential factor Meridian |
| Sumario: | For the polynomial vector fields on a Clifford n-dimensional torus, we develop a Darboux theory of integrability. Moreover, we study the optimal maximum number of invariant meridians in terms of the degree of the polynomial vector field. |
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