Analytic nilpotent centers as limits of nondegenerate centers revisited
We prove that all the nilpotent centers of planar analytic differential systems are limit of centers with purely imaginary eigenvalues, and consequently the Poincaré--Liapunov method to detect centers with purely imaginary eigenvalues can be used to detect nilpotent centers.
| 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:10459.1/58369 |
| Acceso en línea: | https://doi.org/10.1016/j.jmaa.2016.04.046 http://hdl.handle.net/10459.1/58369 |
| Access Level: | acceso abierto |
| Palabra clave: | Nilpotent center Poincaré–Liapunov constants |
| Sumario: | We prove that all the nilpotent centers of planar analytic differential systems are limit of centers with purely imaginary eigenvalues, and consequently the Poincaré--Liapunov method to detect centers with purely imaginary eigenvalues can be used to detect nilpotent centers. |
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