Analytic integrability of some examples of degenerate planar vector fields
This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate center problem. This classification can be done using the formal normal form theor...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat de Lleida (UdL) |
| Repositorio: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/58355 |
| Acceso en línea: | https://doi.org/10.1007/s10440-014-0001-2 http://hdl.handle.net/10459.1/58355 |
| Access Level: | acceso abierto |
| Palabra clave: | Nonlinear differential systems Integrability problem Degenerate center problem Matemàtica Mathematics |
| Sumario: | This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate center problem. This classification can be done using the formal normal form theory and knowing a suitable normal form of any differential systems associated to each family. |
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