Global Dynamics of the Kummer-Schwarz Differential Equation

Jaume Llibre, Claudio Vidal

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)


This paper studies the Kummer-Schwarz differential equation 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, and we provide a complete description of its global dynamics adding the infinity. © 2013 Springer Basel.
Original languageEnglish
Pages (from-to)477-486
JournalMediterranean Journal of Mathematics
Issue number2
Publication statusPublished - 1 Jan 2014


  • Kummer-Schwarz equation
  • Poincaré compactification
  • global dynamics
  • integrability


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