Periodic solutions of fixed energy for some second order Hamiltonian systems
type: Item
instance of: scholarly article
title: Periodic solutions of fixed energy for some second order Hamiltonian systems
zbMATH Open document ID: 0767.34024
DOI: 10.1007/BF02883437
author: Yanheng Ding
author: Shujie Li
published in: Chinese Science Bulletin
publication date: 1993-04-01T00:00:00Z
review text: The authors prove some sufficient conditions for the existence of periodic solutions of the autonomous Hamiltonian system \(\ddot u+\text{grad}_ u V(u)=0\), \(| \dot u(t)|^ 2/2+V(u(t))=h\); \(V\in C^ 2(\Omega,R^ 1)\), \(\Omega\subset R^ n\), \(h=\text{const}\).
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 70K25
zbMATH DE Number: 148459
zbMATH Keywords: critical point
zbMATH Keywords: periodic solutions
zbMATH Keywords: autonomous Hamiltonian system
reviewed by: E. Brommundt
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 148459