Limit cycles of perturbations of quadratic Hamiltonian vector fields
type: Item
instance of: scholarly article
title: Limit cycles of perturbations of quadratic Hamiltonian vector fields
zbMATH Open document ID: 0829.58034
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1996-01-22T00:00:00Z
review text: We find an upper bound (three) for the number of limit cycles of the perturbed plane Hamiltonian system \(dH+ \varepsilon (P (x,y) dx+ Q(x, y) dy) =0\) for arbitrary quadratic polynomials \(P\), \(Q\) and cubic Hamiltonians \(H(x, y)\) having the following properties --- the system \(dH=0\) has three saddle points and one center; --- the corresponding critical values of \(H\) are all different.
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 810311
zbMATH Keywords: perturbations
zbMATH Keywords: quadratic Hamiltonian vector fields
zbMATH Keywords: limit cycles
author: Lubomir Gavrilov
author: Emil Horozov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 810311