Z<inf>2</inf>-Symmetric planar polynomial hamiltonian systems of degree 3 with nilpotent centers

Fabio Scalco Dias; Jaume Llibre; Claudia Valls

Z<inf>2</inf>-Symmetric planar polynomial hamiltonian systems of degree 3 with nilpotent centers

Fabio Scalco Dias, Jaume Llibre, Claudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research

1 Citation (Scopus)

Abstract

© 2019 Texas State University. We provide the normal forms of all Z2-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin. Furthermore, we complete the classification of the global phase portraits in the Poincaré disk of the above systems initiated by Dias, Llibre and Valls [9].

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2019
Publication status	Published - 1 Jan 2019

Keywords

Nilpotent center
Phase portrait
Poincaré compactication
Polynomial Hamiltonian systems
Z -symmetric 2

Cite this

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title = "Z2-Symmetric planar polynomial hamiltonian systems of degree 3 with nilpotent centers",

abstract = "{\textcopyright} 2019 Texas State University. We provide the normal forms of all Z2-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin. Furthermore, we complete the classification of the global phase portraits in the Poincar{\'e} disk of the above systems initiated by Dias, Llibre and Valls [9].",

keywords = "Nilpotent center, Phase portrait, Poincar{\'e} compactication, Polynomial Hamiltonian systems, Z -symmetric 2",

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

year = "2019",

month = jan,

day = "1",

language = "English",

volume = "2019",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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TY - JOUR

T1 - Z2-Symmetric planar polynomial hamiltonian systems of degree 3 with nilpotent centers

AU - Dias, Fabio Scalco

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2019/1/1

Y1 - 2019/1/1

N2 - © 2019 Texas State University. We provide the normal forms of all Z2-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin. Furthermore, we complete the classification of the global phase portraits in the Poincaré disk of the above systems initiated by Dias, Llibre and Valls [9].

AB - © 2019 Texas State University. We provide the normal forms of all Z2-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin. Furthermore, we complete the classification of the global phase portraits in the Poincaré disk of the above systems initiated by Dias, Llibre and Valls [9].

KW - Nilpotent center

KW - Phase portrait

KW - Poincaré compactication

KW - Polynomial Hamiltonian systems

KW - Z -symmetric 2

M3 - Article

SN - 1072-6691

VL - 2019

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Z<inf>2</inf>-Symmetric planar polynomial hamiltonian systems of degree 3 with nilpotent centers

Abstract

Keywords

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