Polynomial and rational first integrals for planar homogeneous polynomial differential systems
In this paper we find necessary and sufficient 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 |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150716 |
| Acceso en línea: | https://ddd.uab.cat/record/150716 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Extra14_14 |
| Access Level: | acceso abierto |
| Palabra clave: | First integral Integrability problem Polynomial differential equations |
| Sumario: | In this paper we find necessary and sufficient 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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