Local behavior of planar analytic vector fields via integrability
We present an algorithm to study the local behavior of singular points of planar analytic vector fields having a first integral which is a quotient of analytic functions. The algorithm is based on the blow up method. It emphasizes the curves passing through the singular points and avoids the computa...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150559 |
| Acceso en línea: | https://ddd.uab.cat/record/150559 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2011.06.062 |
| Access Level: | acceso abierto |
| Palabra clave: | Planar analytic vector field Generalized rational first integral Blow up |
| Sumario: | We present an algorithm to study the local behavior of singular points of planar analytic vector fields having a first integral which is a quotient of analytic functions. The algorithm is based on the blow up method. It emphasizes the curves passing through the singular points and avoids the computation of the desingularized systems. Vector fields having a rational first integral are a particular case. |
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