Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries
type: Item
instance of: scholarly article
title: Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries
zbMATH Open document ID: 0582.70019
DOI: 10.1016/S0294-1449(16)30423-1
author: Mario Girardi
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1984-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78075
review text: This paper deals with the existence of periodic solutions of Hamiltonian systems with N degrees of freedom, on a given energy surface. The surface is supposed to be symmetric and starshaped with respect to the origin. We show that any such surface carries at least one symmetric periodic solution and we give a sufficient condition on the surface for the existence of N such solutions.
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 3932458
zbMATH Keywords: symmetric, starshaped energy surface
zbMATH Keywords: existence
zbMATH Keywords: periodic solutions
zbMATH Keywords: Hamiltonian systems with N degrees of freedom
zbMATH Keywords: symmetric periodic solution
zbMATH Keywords: sufficient condition
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3932458