Existence and multiplicity results for heteroclinic orbits of second order Hamiltonian systems
type: Item
instance of: scholarly article
title: Existence and multiplicity results for heteroclinic orbits of second order Hamiltonian systems
zbMATH Open document ID: 0973.37038
author: Chao-Nien Chen
author: Shyuh-Yaur Tzeng
published in: Journal of Differential Equations
publication date: 2001-12-09T00:00:00Z
review text: For a non-autonomous Hamiltonian system of the form \(\ddot q-V' (t,q)=0\) the existence of heteroclinic orbits is discussed. The potential \(V\) does not need to be periodic or quasiperiodic, it is only assumed that there exist finitely or infinitely many points which minimize \(V\) at any fixed time. It is possible to show the existence of heteroclinic orbits between pairs of these minimizers using a penalization technique. This method combined with a mountain pass type theorem allows to show the existence of multiple heteroclinic connections between pairs of equilibria.
reviewed by: Jörg Härterich
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 37J20
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49M30
zbMATH DE Number: 1384453
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: heteroclinic orbit
zbMATH Keywords: mountain pass theorem
zbMATH Keywords: calculus of variations
MaRDI profile type: Publication
full work available at URL: jdeq.1999.3633
OpenAlex ID: W1970146112
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DOI: 10.1006/JDEQ.1999.3633
description: scientific article; zbMATH DE number 1384453