A new algorithm for finding rational first integrals of polynomial vector fields
We present a new method to compute rational first integrals of a planar polynomial vector field. 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: | informe técnico |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/6507 |
| Acceso en línea: | https://hdl.handle.net/2117/6507 |
| Access Level: | acceso abierto |
| Palabra clave: | Differential equations Polynomial vector field Rational first integral Remarkable curve Equacions diferencials ordinàries Classificació AMS::34 Ordinary differential equations::34C Qualitative theory |
| Sumario: | We present a new method to compute rational first integrals of a planar polynomial vector field. 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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