Global dynamics of the Kummer-Schwarz differential equation
This paper studies the Kummer-Schwarz differential equation 2 ˙x...x -3¨x2 = 0 which is of special interest due to its relationship with the Schwarzian derivative. This differential equation is transformed into a first order differential system in R3, and we provide a complete description of its glo...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150740 |
| Acceso en línea: | https://ddd.uab.cat/record/150740 https://dx.doi.org/urn:doi:10.1007/s00009-013-0299-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Global dynamics Kummer-Schwarz equation Poincaré compactification |
| Sumario: | This paper studies the Kummer-Schwarz differential equation 2 ˙x...x -3¨x2 = 0 which is of special interest due to its relationship with the Schwarzian derivative. This differential equation is transformed into a first order differential system in R3, and we provide a complete description of its global dynamics adding the infinity. |
|---|