On the computation of Darboux first integrals of a class of planar polynomial vector fields
[EN] We study the class of planar polynomial vector fields admitting Darboux first integrals of the type Pi(r)(i=1) f(i)(alpha i), where the alpha(i)'s are positive real numbers and the f(i)'s are polynomials defining curves with only one place at infinity. We show that these vecto...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/155854 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/155854 |
| Access Level: | acceso abierto |
| Palabra clave: | Planar polynomial vector field Darboux first integral Reduction of singularities Curve with only one place at infinity MATEMATICA APLICADA |
| Sumario: | [EN] We study the class of planar polynomial vector fields admitting Darboux first integrals of the type Pi(r)(i=1) f(i)(alpha i), where the alpha(i)'s are positive real numbers and the f(i)'s are polynomials defining curves with only one place at infinity. We show that these vector fields have an extended reduction procedure and give an algorithm which, from a part of the extended reduction of the vector field, computes a Darboux first integral for generic exponents. (C) 2019 Elsevier Inc. All rights reserved. |
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