Abstract
This paper studies the Kummer–Schwarz differential equation \({2 \dot{x}\, \dddot{x}- 3 \ddot x^2=0}\) 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 \({\mathbb{R}^3}\) , and we provide a complete description of its global dynamics adding the infinity.
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Llibre, J., Vidal, C. Global Dynamics of the Kummer–Schwarz Differential Equation. Mediterr. J. Math. 11, 477–486 (2014). https://doi.org/10.1007/s00009-013-0299-4
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DOI: https://doi.org/10.1007/s00009-013-0299-4