Dynamics of the Painlevé-Ince Equation

Jaume Llibre

doi:10.1007/s00025-022-01783-5

Dynamics of the Painlevé-Ince Equation

Jaume Llibre^*

^*Autor correspondiente de este trabajo

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

Resumen

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	Inglés
Número de artículo	11
Número de páginas	7
Publicación	Results in Mathematics
Volumen	78
N.º	1
DOI	https://doi.org/10.1007/s00025-022-01783-5
Estado	Publicada - 15 nov 2022

Acceder al documento

10.1007/s00025-022-01783-5

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

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@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",

}

TY - JOUR

T1 - Dynamics of the Painlevé-Ince Equation

AU - Llibre, Jaume

PY - 2022/11/15

Y1 - 2022/11/15

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

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto