Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers

Fabio Scalco Dias; Jaume Llibre; Claudia Valls

doi:https://doi.org/10.1016/j.matcom.2017.06.002

Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers

Fabio Scalco Dias, Jaume Llibre, Claudia Valls

Department of Mathematics

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

11 Citations (Scopus)

Abstract

© 2017 International Association for Mathematics and Computers in Simulation (IMACS) We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.

Original language	English
Pages (from-to)	60-77
Journal	Mathematics and Computers in Simulation
Volume	144
DOIs	https://doi.org/10.1016/j.matcom.2017.06.002
Publication status	Published - 1 Feb 2018

Keywords

Nilpotent center
Phase portrait
Poincaré compactification
Polynomial Hamiltonian systems

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https://doi.org/10.1016/j.matcom.2017.06.002

https://ddd.uab.cat/record/199358

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title = "Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers",

abstract = "{\textcopyright} 2017 International Association for Mathematics and Computers in Simulation (IMACS) We provide normal forms and the global phase portraits in the Poincar{\'e} disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.",

keywords = "Nilpotent center, Phase portrait, Poincar{\'e} compactification, Polynomial Hamiltonian systems",

author = "Dias, {Fabio Scalco} and Jaume Llibre and Claudia Valls",

year = "2018",

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doi = "https://doi.org/10.1016/j.matcom.2017.06.002",

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T1 - Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers

AU - Dias, Fabio Scalco

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2018/2/1

Y1 - 2018/2/1

N2 - © 2017 International Association for Mathematics and Computers in Simulation (IMACS) We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.

AB - © 2017 International Association for Mathematics and Computers in Simulation (IMACS) We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.

KW - Nilpotent center

KW - Phase portrait

KW - Poincaré compactification

KW - Polynomial Hamiltonian systems

U2 - https://doi.org/10.1016/j.matcom.2017.06.002

DO - https://doi.org/10.1016/j.matcom.2017.06.002

M3 - Article

SN - 0378-4754

VL - 144

SP - 60

EP - 77

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

ER -

Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers

Abstract

Keywords

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