On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems
type: Item
instance of: scholarly article
title: On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems
zbMATH Open document ID: 0823.34050
DOI: 10.1007/BF01194038
author: Fabio Giannoni
author: Paul H. Rabinowitz
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 1995-03-27T00:00:00Z
review text: The authors consider second order Hamiltonian systems on complete Riemannian manifolds of the form \(D_ t \dot x(t) + \text{grad}_ x V(t,x(t)) = 0\), where the potential \(V\) is \(T\)-periodic in \(t\). They prove the existence of infinitely many homoclinic orbits.
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C40
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 736828
zbMATH Keywords: second order Hamiltonian systems on complete Riemannian manifolds
zbMATH Keywords: infinitely many homoclinic orbits
reviewed by: Ubiratan D'Ambrosio
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 736828