On the shape of limit cycles that bifurcate from Hamiltonian centers

Hector Giacomini; Jaume Llibre; Mireille Viano

doi:https://doi.org/10.1016/S0362-546X(98)00294-6

On the shape of limit cycles that bifurcate from Hamiltonian centers

Hector Giacomini, Jaume Llibre, Mireille Viano

Department of Mathematics

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

45 Citations (Scopus)

Abstract

A method for computing analytically the global shape of the bifurcated limit cycles from an analytic Hamiltonian center when it is perturbed by an arbitrary analytic vector field is derived. The theorem on which this method is based is demonstrated.

Original language	English
Pages (from-to)	523-537
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	41
DOIs	https://doi.org/10.1016/S0362-546X(98)00294-6
Publication status	Published - 1 Jan 2000

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title = "On the shape of limit cycles that bifurcate from Hamiltonian centers",

abstract = "A method for computing analytically the global shape of the bifurcated limit cycles from an analytic Hamiltonian center when it is perturbed by an arbitrary analytic vector field is derived. The theorem on which this method is based is demonstrated.",

author = "Hector Giacomini and Jaume Llibre and Mireille Viano",

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T1 - On the shape of limit cycles that bifurcate from Hamiltonian centers

AU - Giacomini, Hector

AU - Llibre, Jaume

AU - Viano, Mireille

PY - 2000/1/1

Y1 - 2000/1/1

N2 - A method for computing analytically the global shape of the bifurcated limit cycles from an analytic Hamiltonian center when it is perturbed by an arbitrary analytic vector field is derived. The theorem on which this method is based is demonstrated.

AB - A method for computing analytically the global shape of the bifurcated limit cycles from an analytic Hamiltonian center when it is perturbed by an arbitrary analytic vector field is derived. The theorem on which this method is based is demonstrated.

U2 - https://doi.org/10.1016/S0362-546X(98)00294-6

DO - https://doi.org/10.1016/S0362-546X(98)00294-6

M3 - Article

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SP - 523

EP - 537

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

ER -

On the shape of limit cycles that bifurcate from Hamiltonian centers

Abstract

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