Local phase portraits through the Newton diagram of a vector field
The Newton diagram and, in particular, the lowest-degree quasi-homogeneous terms of an analytic planar vector field allow us to determine the existence of characteristic orbits and separatrices of an isolated singular point. We give an easy algorithm for obtaining the local phase portrait near the o...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Huelva (UHU) |
| Repositorio: | Arias Montano. Repositorio Institucional de la Universidad de Huelva |
| Idioma: | inglés |
| OAI Identifier: | oai:ariasmontano.uhu.es:10272/25454 |
| Acceso en línea: | https://hdl.handle.net/10272/25454 |
| Access Level: | acceso abierto |
| Palabra clave: | Degenerate vector fields Phase portraits Monodromy of vector fields Monodromy Separatrices Quasi-homogeneous vector field 1206.02 Ecuaciones Diferenciales |
| Sumario: | The Newton diagram and, in particular, the lowest-degree quasi-homogeneous terms of an analytic planar vector field allow us to determine the existence of characteristic orbits and separatrices of an isolated singular point. We give an easy algorithm for obtaining the local phase portrait near the origin of a bi-dimensional differential system and we provide several examples. |
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