Global Dynamics of the Kummer-Schwarz Differential Equation

Jaume Llibre; Claudio Vidal

doi:10.1007/s00009-013-0299-4

Global Dynamics of the Kummer-Schwarz Differential Equation

Jaume Llibre, Claudio Vidal

Departament de Matemàtiques

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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.

Idioma original	Anglès
Pàgines (de-a)	477-486
Revista	Mediterranean Journal of Mathematics
Volum	11
Número	2
DOIs	https://doi.org/10.1007/s00009-013-0299-4
Estat de la publicació	Publicada - 1 de gen. 2014

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10.1007/s00009-013-0299-4

https://ddd.uab.cat/record/150740

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https://www.scopus.com/pages/publications/84899902975

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@article{56a483c8cbe04ffe90e383f00662b4bc,

title = "Global Dynamics of the Kummer-Schwarz Differential Equation",

abstract = "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. {\textcopyright} 2013 Springer Basel.",

keywords = "Kummer-Schwarz equation, Poincar{\'e} compactification, global dynamics, integrability",

author = "Jaume Llibre and Claudio Vidal",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/s00009-013-0299-4",

language = "English",

volume = "11",

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journal = "Mediterranean Journal of Mathematics",

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publisher = "Birkhauser Verlag Basel",

number = "2",

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T1 - Global Dynamics of the Kummer-Schwarz Differential Equation

AU - Llibre, Jaume

AU - Vidal, Claudio

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

KW - Kummer-Schwarz equation

KW - Poincaré compactification

KW - global dynamics

KW - integrability

UR - https://www.scopus.com/pages/publications/84899902975

U2 - 10.1007/s00009-013-0299-4

DO - 10.1007/s00009-013-0299-4

M3 - Article

SN - 1660-5446

VL - 11

SP - 477

EP - 486

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 2

ER -

Global Dynamics of the Kummer-Schwarz Differential Equation

Resum

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