Centers of weight-homogeneous polynomial vector fields on the plane

Jaume Giné; Jaume Llibre; Claudia Valls

doi:https://doi.org/10.1090/proc/13393

Centers of weight-homogeneous polynomial vector fields on the plane

Jaume Giné, Jaume Llibre, Claudia Valls

Department of Mathematics

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

3 Citations (Scopus)

Abstract

© 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.

Original language	English
Pages (from-to)	2539-2555
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	6
DOIs	https://doi.org/10.1090/proc/13393
Publication status	Published - 1 Jan 2017

Keywords

Chaotic system
Darboux integrability
Hopf bifurcation
Poincaré compactification
Quasi-homogeneous polynomial differential systems
Weight-homogeneous polynomial differential systems

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https://doi.org/10.1090/proc/13393

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

Cite this

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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",

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doi = "https://doi.org/10.1090/proc/13393",

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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

U2 - https://doi.org/10.1090/proc/13393

DO - https://doi.org/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

Abstract

Keywords

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