Polynomial and rational first integrals for planar homogeneous polynomial differential systems
In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/49445 |
| Acceso en línea: | https://doi.org/10.5565/PUBLMAT_Extra14_14 http://hdl.handle.net/10459.1/49445 |
| Access Level: | acceso abierto |
| Palabra clave: | First integral Polynomial differential equations Integrability problem Equacions diferencials |
| Sumario: | In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems. |
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