Dynamics of the Painlevé-Ince Equation

Jaume Llibre

doi:10.1007/s00025-022-01783-5

Dynamics of the Painlevé-Ince Equation

Jaume Llibre^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

The Painlevé-Ince differential equation y^{′ ′}+ 3 yy^′+ y³= 0 has been studied from many points of view. Here we complete its study providing its phase portrait in the Poincaré disc.

Original language	English
Article number	11
Number of pages	7
Journal	Results in Mathematics
Volume	78
Issue number	1
DOIs	https://doi.org/10.1007/s00025-022-01783-5
Publication status	Published - 15 Nov 2022

Keywords

first integral
Painlevé-Ince equation
phase portrait
poincaré disc

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10.1007/s00025-022-01783-5

https://ddd.uab.cat/record/299752

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title = "Dynamics of the Painlev{\'e}-Ince Equation",

abstract = "The Painlev{\'e}-Ince differential equation y′ ′+ 3 yy′+ y3= 0 has been studied from many points of view. Here we complete its study providing its phase portrait in the Poincar{\'e} disc.",

keywords = "first integral, Painlev{\'e}-Ince equation, phase portrait, poincar{\'e} disc",

author = "Jaume Llibre",

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year = "2022",

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doi = "10.1007/s00025-022-01783-5",

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AB - The Painlevé-Ince differential equation y′ ′+ 3 yy′+ y3= 0 has been studied from many points of view. Here we complete its study providing its phase portrait in the Poincaré disc.

KW - first integral

KW - Painlevé-Ince equation

KW - phase portrait

KW - poincaré disc

UR - https://www.scopus.com/pages/publications/85142032730

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DO - 10.1007/s00025-022-01783-5

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VL - 78

JO - Results in Mathematics

JF - Results in Mathematics

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ER -

Dynamics of the Painlevé-Ince Equation

Abstract

Keywords

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