Global dynamics of the Kummer-Schwarz differential equation
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Vidal, Claudio (Universidad del Bio Bio(Chile). Departamento de Matemática)

Date:	2014
Abstract:	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.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author is partially supported by Dirección de Investigación DIUBB 1204084/R
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Global dynamics ; Kummer-Schwarz equation ; Poincaré compactification
Published in:	Mediterranean Journal of Mathematics, Vol. 11 (2014) , p. 477-486, ISSN 1660-5454

DOI: 10.1007/s00009-013-0299-4

Postprint 11 p, 650.3 KB

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