A new algorithm for finding rational first integrals of polynomial vector fields
We present a new method to compute rational first integrals of planar polynomial vector fields. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated to the rational first integral of the system.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:232172 |
| Acceso en línea: | https://ddd.uab.cat/record/232172 https://dx.doi.org/urn:doi:10.1007/s12346-010-0021-x |
| Access Level: | acceso abierto |
| Palabra clave: | Polynomial vector field Rational first integral Remarkable curve |
| Sumario: | We present a new method to compute rational first integrals of planar polynomial vector fields. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated to the rational first integral of the system. |
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