Heteroclinic orbits on noncompact Riemannian manifolds

In this paper we consider a second order hamiltonian system on non-compact Riemannian manifolds. We prove the existence of one heteroclinic orbit under the assumption that the potential V is periodic in t and has two maximum points independent of t.

Bibliographic Details
Main Author: A. GERMINARIO
Format: Article
Language:English
Published: Sapienza Università Editrice 1995-02-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(2)/263-279.pdf
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author A. GERMINARIO
author_facet A. GERMINARIO
author_sort A. GERMINARIO
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description In this paper we consider a second order hamiltonian system on non-compact Riemannian manifolds. We prove the existence of one heteroclinic orbit under the assumption that the potential V is periodic in t and has two maximum points independent of t.
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spelling doaj.art-6c4a4ea3625149d9b82d75d7405544fc2023-05-25T14:46:40ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501995-02-01152263279Heteroclinic orbits on noncompact Riemannian manifoldsA. GERMINARIO0Scuola Normale Superiore – Piazza dei Cavalieri, 7 – 56100 Pisa – ItaliaIn this paper we consider a second order hamiltonian system on non-compact Riemannian manifolds. We prove the existence of one heteroclinic orbit under the assumption that the potential V is periodic in t and has two maximum points independent of t. https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(2)/263-279.pdfheteroclinic orbitshamiltonian systemscritical pointsminimum points
spellingShingle A. GERMINARIO
Heteroclinic orbits on noncompact Riemannian manifolds
Rendiconti di Matematica e delle Sue Applicazioni
heteroclinic orbits
hamiltonian systems
critical points
minimum points
title Heteroclinic orbits on noncompact Riemannian manifolds
title_full Heteroclinic orbits on noncompact Riemannian manifolds
title_fullStr Heteroclinic orbits on noncompact Riemannian manifolds
title_full_unstemmed Heteroclinic orbits on noncompact Riemannian manifolds
title_short Heteroclinic orbits on noncompact Riemannian manifolds
title_sort heteroclinic orbits on noncompact riemannian manifolds
topic heteroclinic orbits
hamiltonian systems
critical points
minimum points
url https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(2)/263-279.pdf
work_keys_str_mv AT agerminario heteroclinicorbitsonnoncompactriemannianmanifolds