Linear type centers of polynomial hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis

Jaume Llibre; Y. Paulina Martínez; Claudio Vidal

doi:10.3934/dcdsb.2018047

Linear type centers of polynomial hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis

Jaume Llibre, Y. Paulina Martínez, Claudio Vidal

Departament de Matemàtiques

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Resum

We provide the phase portraits in the Poincare disk for all the linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis given by the Hamiltonian function H(x, y) = 1/2 (x2 + y2) + ax4y + bx2y3 + cy5 in function of its parameters.

Idioma original	Anglès
Pàgines (de-a)	887-912
Revista	Discrete and Continuous Dynamical Systems - Series B
Volum	23
Número	2
DOIs	https://doi.org/10.3934/dcdsb.2018047
Estat de la publicació	Publicada - 1 de març 2018

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10.3934/dcdsb.2018047

https://ddd.uab.cat/record/199337

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title = "Linear type centers of polynomial hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis",

abstract = "We provide the phase portraits in the Poincare disk for all the linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis given by the Hamiltonian function H(x, y) = 1/2 (x2 + y2) + ax4y + bx2y3 + cy5 in function of its parameters.",

keywords = "Hamiltonian systems, Linear type centers, Phase portraits, Polynomial vector fields, Quartic polynomial",

author = "Jaume Llibre and {Paulina Mart{\'i}nez}, Y. and Claudio Vidal",

year = "2018",

month = mar,

day = "1",

doi = "10.3934/dcdsb.2018047",

language = "English",

volume = "23",

pages = "887--912",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

publisher = "Southwest Missouri State University",

number = "2",

}

Linear type centers of polynomial hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis. / Llibre, Jaume; Paulina Martínez, Y.; Vidal, Claudio.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 23, Núm. 2, 01.03.2018, pàg. 887-912.

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

TY - JOUR

T1 - Linear type centers of polynomial hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis

AU - Llibre, Jaume

AU - Paulina Martínez, Y.

AU - Vidal, Claudio

PY - 2018/3/1

Y1 - 2018/3/1

N2 - We provide the phase portraits in the Poincare disk for all the linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis given by the Hamiltonian function H(x, y) = 1/2 (x2 + y2) + ax4y + bx2y3 + cy5 in function of its parameters.

AB - We provide the phase portraits in the Poincare disk for all the linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis given by the Hamiltonian function H(x, y) = 1/2 (x2 + y2) + ax4y + bx2y3 + cy5 in function of its parameters.

KW - Hamiltonian systems

KW - Linear type centers

KW - Phase portraits

KW - Polynomial vector fields

KW - Quartic polynomial

U2 - 10.3934/dcdsb.2018047

DO - 10.3934/dcdsb.2018047

M3 - Article

SN - 1531-3492

VL - 23

SP - 887

EP - 912

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 2

ER -

Linear type centers of polynomial hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis

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