Subharmonic solutions of Hamiltonian systems in the plane
type: Item
instance of: scholarly article
zbMATH Open document ID: 0990.37047
publication date: 2002-01-21T00:00:00Z
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 70H12
zbMATH DE Number: 1642366
zbMATH Keywords: Melnikov method
zbMATH Keywords: subharmonic solutions
zbMATH Keywords: planar Hamiltonian systems
author: Hildeberto Cabral
MaRDI profile type: Publication
title: Subharmonic solutions of Hamiltonian systems in the plane
review text: The author uses the Melnikov method to show the existence of subharmonic solutions in planar Hamiltonian systems perturbed by a bounded periodic function. The proof of the main theorem is very close to the work of \textit{J. Guckenheimer} and \textit{Ph. Holmes} [Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer, New York (1983; Zbl 0515.34001)].NEWLINENEWLINEFor the entire collection see [Zbl 0963.00030].
reviewed by: Faouzi Lakrad
description: scientific article; zbMATH DE number 1642366