Centers of weight-homogeneous polynomial vector fields on the plane

Jaume Giné; Jaume Llibre; Claudia Valls

doi:10.1090/proc/13393

Centers of weight-homogeneous polynomial vector fields on the plane

Jaume Giné, Jaume Llibre, Claudia Valls

Departament de Matemàtiques

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© 2016 American Mathematical Society. We characterize all centers of planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of planar weight-homogeneous polynomial vector fields of degrees 6 and 7.

Idioma original	Anglès
Pàgines (de-a)	2539-2555
Revista	Proceedings of the American Mathematical Society
Volum	145
Número	6
DOIs	https://doi.org/10.1090/proc/13393
Estat de la publicació	Publicada - 1 de gen. 2017

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10.1090/proc/13393

https://ddd.uab.cat/record/182495

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https://www.scopus.com/pages/publications/85016207755

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@article{29cf789b0cb14c1aa7efdc1e0725b15e,

title = "Centers of weight-homogeneous polynomial vector fields on the plane",

abstract = "{\textcopyright} 2016 American Mathematical Society. We characterize all centers of planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of planar weight-homogeneous polynomial vector fields of degrees 6 and 7.",

keywords = "Chaotic system, Darboux integrability, Hopf bifurcation, Poincar{\'e} compactification, Quasi-homogeneous polynomial differential systems, Weight-homogeneous polynomial differential systems",

author = "Jaume Gin{\'e} and Jaume Llibre and Claudia Valls",

year = "2017",

month = jan,

day = "1",

doi = "10.1090/proc/13393",

language = "English",

volume = "145",

pages = "2539--2555",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "6",

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TY - JOUR

T1 - Centers of weight-homogeneous polynomial vector fields on the plane

AU - Giné, Jaume

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2017/1/1

Y1 - 2017/1/1

N2 - © 2016 American Mathematical Society. We characterize all centers of planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of planar weight-homogeneous polynomial vector fields of degrees 6 and 7.

AB - © 2016 American Mathematical Society. We characterize all centers of planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of planar weight-homogeneous polynomial vector fields of degrees 6 and 7.

KW - Chaotic system

KW - Darboux integrability

KW - Hopf bifurcation

KW - Poincaré compactification

KW - Quasi-homogeneous polynomial differential systems

KW - Weight-homogeneous polynomial differential systems

UR - https://www.scopus.com/pages/publications/85016207755

U2 - 10.1090/proc/13393

DO - 10.1090/proc/13393

M3 - Article

SN - 0002-9939

VL - 145

SP - 2539

EP - 2555

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

ER -

Centers of weight-homogeneous polynomial vector fields on the plane

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