Darboux theory of integrability in Tn
We develop the Darboux theory of integrability for polynomial vector fields in the n-dimensional torus T. We also provide the maximum number of invariant parallels and meridians that a polynomial vector field X on T can have in function of its degree.
| 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:291627 |
| Acceso en línea: | https://ddd.uab.cat/record/291627 https://dx.doi.org/urn:doi:10.1007/s40879-024-00737-1 |
| Access Level: | acceso abierto |
| Palabra clave: | Darboux integrability Tori Invariant algebraic variety Exponential factor |
| Sumario: | We develop the Darboux theory of integrability for polynomial vector fields in the n-dimensional torus T. We also provide the maximum number of invariant parallels and meridians that a polynomial vector field X on T can have in function of its degree. |
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