Symmetrically homoclinic orbits for symmetric Hamiltonian systems
type: Item
instance of: scholarly article
title: Symmetrically homoclinic orbits for symmetric Hamiltonian systems
zbMATH Open document ID: 0983.37076
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-08-27T00:00:00Z
review text: The author studies the existence of a symmetric homoclinic orbit for the first order symmetric Hamiltonian system and existence of infinitely many odd homoclinic orbits for classical Hamiltonian systems with even potentials. Note that in contrast to all previous results, the author removes a quadratic term for the Hamiltonian function.
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 34C37
zbMATH DE Number: 1497266
zbMATH Keywords: symmetric homoclinic orbit
zbMATH Keywords: Hamilton system
zbMATH Keywords: even potential
author: Shiqing Zhang
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6839
OpenAlex ID: W2053810979
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DOI: 10.1006/JMAA.2000.6839
description: scientific article; zbMATH DE number 1497266