Stability condition for nilpotent singularities by its complex separatrices
This work is focused in the center problem for nilpotent singularities of differential systems in the plane. Although there are involved methods to approach the center problem in this work, we present a new stability criteria based on the existence of the complex separatrices passing through the sin...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| 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:10459.1/465862 |
| Acceso en línea: | https://doi.org/10.1002/mma.10197 https://hdl.handle.net/10459.1/465862 |
| Access Level: | acceso abierto |
| Palabra clave: | Analytic integrability Cherkas method Decomposition in prime ideals Nilpotent center problem Polynomial differential systems Takens normal form |
| Sumario: | This work is focused in the center problem for nilpotent singularities of differential systems in the plane. Although there are involved methods to approach the center problem in this work, we present a new stability criteria based on the existence of the complex separatrices passing through the singular point, and independent of the normal form. The algebraic method needs only the computation of such complex separatrices up to certain order, which can be done with a computer algebra package. |
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