Homoclinics and heteroclinics for a class of conservative singular Hamiltonian systems
type: Item
instance of: scholarly article
title: Homoclinics and heteroclinics for a class of conservative singular Hamiltonian systems
zbMATH Open document ID: 0887.34044
author: Paolo Caldiroli
author: Louis Jeanjean
published in: Journal of Differential Equations
publication date: 1997-08-07T00:00:00Z
review text: The authors investigate by variational methods an autonomous Hamiltonian system where the potential has a strict global maximum and a singularity at some point. They prove the existence of homoclinics which turn \(k\) times around the singularity and infinitely many geometrically distinct homoclinics. Moreover, the existence of a heteroclinic orbit and periodic orbit, and the chaotic behavior on some invariant subsets of the energy level \(\varepsilon\) (small) are given. The techniques used are quite manifold, and useful for the study of singular Hamiltonian systems.
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 1014432
zbMATH Keywords: singular Hamiltonian systems
zbMATH Keywords: homoclinics and heteroclinics
reviewed by: Zhujun Jing
MaRDI profile type: Publication
full work available at URL: jdeq.1996.3230
OpenAlex ID: W2076164089
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DOI: 10.1006/JDEQ.1996.3230
description: scientific article; zbMATH DE number 1014432