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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| Formato: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Recursos: | Universidad de Huelva (UHU) |
| Repositorio: | Arias Montano. Repositorio Institucional de la Universidad de Huelva |
| Idioma: | inglés |
| OAI Identifier: | oai:ariasmontano.uhu.es:10272/20906 |
| Acesso em linha: | http://hdl.handle.net/10272/20906 |
| Access Level: | acceso abierto |
| Palavra-chave: | Nonlinear differential systems Integrability problem Degenerate center problem 12 Matemáticas |
| Resumo: | 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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