Z2-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields

Ting Chen; Shimin Li; Jaume Llibre

doi:10.1016/j.jde.2019.12.020

Z₂-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields

Ting Chen, Shimin Li^*, Jaume Llibre

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

Guangdong University Of Finances and Economics

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

17 Cites (Scopus)

Resum

We study the global dynamical behavior of Z₂-equivariant cubic Hamiltonian vector fields with a linear type bi-center at (±1,0). By using a series of symbolic computation tools, we obtain all possible phase portraits of these Z₂-equivariant Hamiltonian systems.

Idioma original	Anglès
Pàgines (de-a)	832-861
Nombre de pàgines	30
Revista	Journal of differential equations
Volum	269
Número	1
DOIs	https://doi.org/10.1016/j.jde.2019.12.020
Estat de la publicació	Publicada - 15 de juny 2020

Accés al document

10.1016/j.jde.2019.12.020

https://ddd.uab.cat/record/228121

Altres arxius i enllaços

Link to publication in Scopus

Com citar-ho

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title = "Z2-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields",

abstract = "We study the global dynamical behavior of Z2-equivariant cubic Hamiltonian vector fields with a linear type bi-center at (±1,0). By using a series of symbolic computation tools, we obtain all possible phase portraits of these Z2-equivariant Hamiltonian systems.",

keywords = "Bi-center, Hamiltonian, Infinity, Phase portrait, Z-equivariant",

author = "Ting Chen and Shimin Li and Jaume Llibre",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

month = jun,

day = "15",

doi = "10.1016/j.jde.2019.12.020",

language = "English",

volume = "269",

pages = "832--861",

journal = "Journal of differential equations",

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T1 - Z2-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields

AU - Chen, Ting

AU - Li, Shimin

AU - Llibre, Jaume

PY - 2020/6/15

Y1 - 2020/6/15

N2 - We study the global dynamical behavior of Z2-equivariant cubic Hamiltonian vector fields with a linear type bi-center at (±1,0). By using a series of symbolic computation tools, we obtain all possible phase portraits of these Z2-equivariant Hamiltonian systems.

AB - We study the global dynamical behavior of Z2-equivariant cubic Hamiltonian vector fields with a linear type bi-center at (±1,0). By using a series of symbolic computation tools, we obtain all possible phase portraits of these Z2-equivariant Hamiltonian systems.

KW - Bi-center

KW - Hamiltonian

KW - Infinity

KW - Phase portrait

KW - Z-equivariant

UR - https://www.scopus.com/pages/publications/85077697182

U2 - 10.1016/j.jde.2019.12.020

DO - 10.1016/j.jde.2019.12.020

M3 - Article

AN - SCOPUS:85077697182

SN - 0022-0396

VL - 269

SP - 832

EP - 861

JO - Journal of differential equations

JF - Journal of differential equations

IS - 1