New family of cubic Hamiltonian centers

Martín-Eduardo Frías-Armenta; Jaume Llibre

doi:10.1007/s40590-016-0126-6

New family of cubic Hamiltonian centers

Martín-Eduardo Frías-Armenta, Jaume Llibre

Departamento de Matemáticas

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

1 Scopus citations

Abstract

We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a²+ b²+ c²≠ 0.

Original language	Undefined/Unknown
Pages (from-to)	737-758
Number of pages	22
Journal	Boletín de la Sociedad Matemática Mexicana
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s40590-016-0126-6
State	Published - 20 Oct 2017

Bibliographical note

Publisher Copyright:
© 2016, Sociedad Matemática Mexicana.

Keywords

Hamiltonian system
Isochronous center

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10.1007/s40590-016-0126-6

Cite this

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title = "New family of cubic Hamiltonian centers",

abstract = "We characterize the 11 non-topological equivalent classes of phase portraits in the Poincar{\'e} disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.",

keywords = "Hamiltonian system, Isochronous center",

author = "Mart{\'i}n-Eduardo Fr{\'i}as-Armenta and Jaume Llibre",

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year = "2017",

month = oct,

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doi = "10.1007/s40590-016-0126-6",

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T1 - New family of cubic Hamiltonian centers

AU - Frías-Armenta, Martín-Eduardo

AU - Llibre, Jaume

PY - 2017/10/20

Y1 - 2017/10/20

N2 - We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.

AB - We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.

KW - Hamiltonian system

KW - Isochronous center

UR - https://doi.org/10.1007/s40590-016-0126-6

U2 - 10.1007/s40590-016-0126-6

DO - 10.1007/s40590-016-0126-6

M3 - Artículo

VL - 23

SP - 737

EP - 758

JO - Boletín de la Sociedad Matemática Mexicana

JF - Boletín de la Sociedad Matemática Mexicana

IS - 2

ER -

New family of cubic Hamiltonian centers

Abstract

Bibliographical note

Keywords

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