Homoclinic orbits at infinity for second order conservative systems
type: Item
instance of: scholarly article
title: Homoclinic orbits at infinity for second order conservative systems
zbMATH Open document ID: 0823.34051
DOI: 10.1007/BF01197749
author: Enrico Serra
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 1995-03-27T00:00:00Z
review text: The author studies Hamiltonian systems of the second order, that is systems of the form \(\ddot q(t) + V'(q(t)) = 0\), where \(q(t) \in \mathbb{R}^ N\), \(N \geq 2\), and the potential \(V \in C^ 2 (\mathbb{R}^ N; \mathbb{R})\) has an improper maximum at infinity. The main result in the paper gives sufficient conditions for the existence of at least one homoclinic orbit at infinity, under decay conditions on the potential as \(| x | \to + \infty\).
Mathematics Subject Classification ID: 34C37
zbMATH DE Number: 736839
zbMATH Keywords: Hamiltonian systems of the second order
zbMATH Keywords: potential
zbMATH Keywords: homoclinic orbit
reviewed by: Ubiratan D'Ambrosio
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01197749
OpenAlex ID: W2088459157
description: scientific article; zbMATH DE number 736839