Dynamics of the Painlevé-Ince Equation

Jaume Llibre

doi:10.1007/s00025-022-01783-5

Dynamics of the Painlevé-Ince Equation

Jaume Llibre^*

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

Resum

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.

Idioma original	Anglès
Número d’article	11
Nombre de pàgines	7
Revista	Results in Mathematics
Volum	78
Número	1
DOIs	https://doi.org/10.1007/s00025-022-01783-5
Estat de la publicació	Publicada - 15 de nov. 2022

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10.1007/s00025-022-01783-5

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

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@article{819187e3f0bf422fae1d6c18c5a3d41b,

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",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

month = nov,

day = "15",

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

language = "English",

volume = "78",

journal = "Results in Mathematics",

issn = "1422-6383",

publisher = "Birkhauser Verlag Basel",

number = "1",

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T1 - Dynamics of the Painlevé-Ince Equation

AU - Llibre, Jaume

PY - 2022/11/15

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N2 - 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.

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

U2 - 10.1007/s00025-022-01783-5

DO - 10.1007/s00025-022-01783-5

M3 - Article

AN - SCOPUS:85142032730

SN - 1422-6383

VL - 78

JO - Results in Mathematics

JF - Results in Mathematics

IS - 1

M1 - 11

ER -

Dynamics of the Painlevé-Ince Equation

Resum

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