Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields

Ilker E. Colak; Jaume Llibre; Claudia Valls

doi:https://doi.org/10.1016/j.jde.2017.02.001

Bifurcation diagrams for 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

10 Citations (Scopus)

Abstract

© 2017 Elsevier Inc. Following the work done in [8] we provide the bifurcation diagrams for the global phase portraits in the Poincaré disk of all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields.

Original language	English
Pages (from-to)	5518-5533
Journal	Journal of Differential Equations
Volume	262
Issue number	11
DOIs	https://doi.org/10.1016/j.jde.2017.02.001
Publication status	Published - 5 Jun 2017

Keywords

Bifurcation diagram
Cubic polynomial
Hamiltonian nilpotent center
Phase portrait
Vector fields

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

abstract = "{\textcopyright} 2017 Elsevier Inc. Following the work done in [8] we provide the bifurcation diagrams for the global phase portraits in the Poincar{\'e} disk of all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields.",

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

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

year = "2017",

month = jun,

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language = "English",

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T1 - Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields

AU - Colak, Ilker E.

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2017/6/5

Y1 - 2017/6/5

N2 - © 2017 Elsevier Inc. Following the work done in [8] we provide the bifurcation diagrams for the global phase portraits in the Poincaré disk of all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields.

AB - © 2017 Elsevier Inc. Following the work done in [8] we provide the bifurcation diagrams for the global phase portraits in the Poincaré disk of all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields.

KW - Bifurcation diagram

KW - Cubic polynomial

KW - Hamiltonian nilpotent center

KW - Phase portrait

KW - Vector fields

UR - https://ddd.uab.cat/record/182488

U2 - https://doi.org/10.1016/j.jde.2017.02.001

DO - https://doi.org/10.1016/j.jde.2017.02.001

M3 - Article

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EP - 5533

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