Quadratic planar systems with two parallel invariant straight lines
In this paper, we classify the global phase portraits of all quadratic planar systems with two parallel invariant straight lines. The main techniques used are Poincaŕe Compactification and Normal Forms Theory combined with the Neumann's Theorem. © 2008 Birkhäuser Verlag Basel/Switzerland.
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2009 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/220104 |
| Acceso en línea: | http://dx.doi.org/10.1007/s12346-008-0017-y http://hdl.handle.net/11449/220104 |
| Access Level: | acceso abierto |
| Palabra clave: | Phase portraits Planar vector fields Quadratic vector fields |
| Sumario: | In this paper, we classify the global phase portraits of all quadratic planar systems with two parallel invariant straight lines. The main techniques used are Poincaŕe Compactification and Normal Forms Theory combined with the Neumann's Theorem. © 2008 Birkhäuser Verlag Basel/Switzerland. |
|---|