Centers: their integrability and relations with the divergence
This is a brief survey on the centers of the analytic differential systems in R^2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus--center problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not co...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:169477 |
| Acceso en línea: | https://ddd.uab.cat/record/169477 https://dx.doi.org/urn:doi:10.21042/AMNS.2016.1.00007 |
| Access Level: | acceso abierto |
| Palabra clave: | Center problem Divergence Integrability Poincaré-Liapunov constants |
| Sumario: | This is a brief survey on the centers of the analytic differential systems in R^2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus--center problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not completely solved. We shall present some recent results using the divergence of the differential system. |
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