Structural Stability of Planar Hamiltonian Polynomial Vector Fields

Xavier Jarque; Jaume Llibre

doi:10.1112/plms/s3-68.3.617

Structural Stability of Planar Hamiltonian Polynomial Vector Fields

Xavier Jarque, Jaume Llibre

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

8 Citations (Scopus)

Abstract

We characterize the set of all structurally stable planar Hamiltonian polynomial vector fields with respect to perturbations, first in the set of all Cr planar vector fields, second in the set of all planar polynomial vector fields, and third in the set of all planar Hamiltonian polynomial vector fields. We also classify the canonical regions of the structurally stable planar Hamiltonian polynomial vector fields, and study its genericity. © 1994 The London Mathematical Society.

Original language	English
Pages (from-to)	617-640
Journal	Proceedings of the London Mathematical Society
Volume	s3-68
Issue number	3
DOIs	https://doi.org/10.1112/plms/s3-68.3.617
Publication status	Published - 1 Jan 1994

Access to Document

10.1112/plms/s3-68.3.617

Fingerprint Dive into the research topics of 'Structural Stability of Planar Hamiltonian Polynomial Vector Fields'. Together they form a unique fingerprint.

Cite this

@article{c05ec810c6d841b8a43133a81f65f994,

title = "Structural Stability of Planar Hamiltonian Polynomial Vector Fields",

abstract = "We characterize the set of all structurally stable planar Hamiltonian polynomial vector fields with respect to perturbations, first in the set of all Cr planar vector fields, second in the set of all planar polynomial vector fields, and third in the set of all planar Hamiltonian polynomial vector fields. We also classify the canonical regions of the structurally stable planar Hamiltonian polynomial vector fields, and study its genericity. {\textcopyright} 1994 The London Mathematical Society.",

author = "Xavier Jarque and Jaume Llibre",

year = "1994",

month = jan,

day = "1",

doi = "10.1112/plms/s3-68.3.617",

language = "English",

volume = "s3-68",

pages = "617--640",

journal = "Proceedings of the London Mathematical Society",

issn = "0024-6115",

number = "3",

}

TY - JOUR

T1 - Structural Stability of Planar Hamiltonian Polynomial Vector Fields

AU - Jarque, Xavier

AU - Llibre, Jaume

PY - 1994/1/1

Y1 - 1994/1/1

N2 - We characterize the set of all structurally stable planar Hamiltonian polynomial vector fields with respect to perturbations, first in the set of all Cr planar vector fields, second in the set of all planar polynomial vector fields, and third in the set of all planar Hamiltonian polynomial vector fields. We also classify the canonical regions of the structurally stable planar Hamiltonian polynomial vector fields, and study its genericity. © 1994 The London Mathematical Society.

AB - We characterize the set of all structurally stable planar Hamiltonian polynomial vector fields with respect to perturbations, first in the set of all Cr planar vector fields, second in the set of all planar polynomial vector fields, and third in the set of all planar Hamiltonian polynomial vector fields. We also classify the canonical regions of the structurally stable planar Hamiltonian polynomial vector fields, and study its genericity. © 1994 The London Mathematical Society.

U2 - 10.1112/plms/s3-68.3.617

DO - 10.1112/plms/s3-68.3.617

M3 - Article

VL - s3-68

SP - 617

EP - 640

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 0024-6115

IS - 3

ER -