Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields

Ilker E. Colak; Jaume Llibre; Claudia Valls

doi:10.1016/j.aim.2014.04.002

Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields

Ilker E. Colak, Jaume Llibre, Claudia Valls

Department of Mathematics

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

21 Citations (Scopus)

Abstract

Original language	English
Pages (from-to)	655-687
Journal	Advances in Mathematics
Volume	259
DOIs	https://doi.org/10.1016/j.aim.2014.04.002
Publication status	Published - 10 Jul 2014

Keywords

Cubic polynomial
Hamiltonian nilpotent center
Phase portrait
Vector fields

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title = "Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields",

abstract = "We provide normal forms and the global phase portraits in the Poincar{\'e} disk for all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields. {\textcopyright} 2014 Elsevier Inc.",

keywords = "Cubic polynomial, Hamiltonian nilpotent center, Phase portrait, Vector fields",

author = "Colak, {Ilker E.} and Jaume Llibre and Claudia Valls",

year = "2014",

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doi = "10.1016/j.aim.2014.04.002",

language = "English",

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journal = "Advances in Mathematics",

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AU - Colak, Ilker E.

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2014/7/10

Y1 - 2014/7/10

N2 - We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields. © 2014 Elsevier Inc.

AB - We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields. © 2014 Elsevier Inc.

KW - Cubic polynomial

KW - Hamiltonian nilpotent center

KW - Phase portrait

KW - Vector fields

U2 - 10.1016/j.aim.2014.04.002

DO - 10.1016/j.aim.2014.04.002

M3 - Article

VL - 259

SP - 655

EP - 687

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

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