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: | informe técnico |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/6506 |
| Acceso en línea: | https://hdl.handle.net/2117/6506 |
| Access Level: | acceso abierto |
| Palabra clave: | Differential equations planar analytic vector field generalized rational first integral blow up Equacions diferencials ordinàries Classificació AMS::34 Ordinary differential equations::34C Qualitative theory |
| 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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