A note on the existence of multiple homoclinic orbits for a perturbed radial potential
type: Item
instance of: scholarly article
title: A note on the existence of multiple homoclinic orbits for a perturbed radial potential
zbMATH Open document ID: 0819.34032
DOI: 10.1007/BF01193949
author: Kazunaga Tanaka
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 1995-09-11T00:00:00Z
review text: From the Introduction: ``We study the existence of multiple homoclinic orbits for an autonomous second order Hamiltonian system. Recently, the existence of homoclinic orbits has been deeply investigated via variational methods. The purpose of this paper is to consider small perturbations of radial potentials and to prove the existence of at least two geometrically distinct homoclinic orbits satisfying natural initial conditions''.
Mathematics Subject Classification ID: 34C37
zbMATH DE Number: 736833
zbMATH Keywords: multiple homoclinic orbits
zbMATH Keywords: autonomous second order Hamiltonian system
zbMATH Keywords: variational methods
zbMATH Keywords: small perturbations of radial potentials
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 736833