Hamiltonian stability in the plane

Xavier Jarque; Zbigniew Nitecki

doi:10.1017/S0143385700000419

Hamiltonian stability in the plane

Xavier Jarque, Zbigniew Nitecki

Department of Economics and Economic History

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

5 Citations (Scopus)

Abstract

We characterize the Hamiltonian flows in the plane which are structurally stable (in a global sense) among Hamiltonian flows. This notion is closely related to, but distinct from, the topological stability of the generating function as a map from the plane to the line.

Original language	English
Pages (from-to)	775-799
Journal	Ergodic Theory and Dynamical Systems
Volume	20
Issue number	3
DOIs	https://doi.org/10.1017/S0143385700000419
Publication status	Published - 1 Jan 2000

Access to Document

10.1017/S0143385700000419

Fingerprint Dive into the research topics of 'Hamiltonian stability in the plane'. Together they form a unique fingerprint.

Cite this

@article{02ce5d68cfa04d47a79c1adfa5ba673e,

title = "Hamiltonian stability in the plane",

abstract = "We characterize the Hamiltonian flows in the plane which are structurally stable (in a global sense) among Hamiltonian flows. This notion is closely related to, but distinct from, the topological stability of the generating function as a map from the plane to the line.",

author = "Xavier Jarque and Zbigniew Nitecki",

year = "2000",

month = jan,

day = "1",

doi = "10.1017/S0143385700000419",

language = "English",

volume = "20",

pages = "775--799",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

number = "3",

}

TY - JOUR

T1 - Hamiltonian stability in the plane

AU - Jarque, Xavier

AU - Nitecki, Zbigniew

PY - 2000/1/1

Y1 - 2000/1/1

N2 - We characterize the Hamiltonian flows in the plane which are structurally stable (in a global sense) among Hamiltonian flows. This notion is closely related to, but distinct from, the topological stability of the generating function as a map from the plane to the line.

AB - We characterize the Hamiltonian flows in the plane which are structurally stable (in a global sense) among Hamiltonian flows. This notion is closely related to, but distinct from, the topological stability of the generating function as a map from the plane to the line.

U2 - 10.1017/S0143385700000419

DO - 10.1017/S0143385700000419

M3 - Article

VL - 20

SP - 775

EP - 799

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

SN - 0143-3857

IS - 3

ER -