Global dynamics of the Kummer-Schwarz differential equation
- Llibre, Jaume
- Vidal, Claudio
Publication date
January 2014
DOI Publisher
Springer Science and Business Media LLCAbstract
Agraïments: The second author is partially supported by Dirección de Investigación DIUBB 1204084/RThis 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