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 documento: | artigo |
| Data de publicação: | 2016 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:169453 |
| Acesso em linha: | https://ddd.uab.cat/record/169453 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2016.04.046 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Nilpotent center Poincaré-Lyapunov constants |
| Resumo: | 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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