A note on periodic solutions of autonomous Hamiltonian systems emanating from degenerate stationary solutions
type: Item
instance of: scholarly article
title: A note on periodic solutions of autonomous Hamiltonian systems emanating from degenerate stationary solutions
zbMATH Open document ID: 1015.34032
published in: Differential and Integral Equations
publication date: 2003-01-26T00:00:00Z
review text: The authors give sufficient conditions for the existence of global bifurcations of nonstationary periodic solutions to Hamiltonian systems. These bifurcations are nontraditionally from degenerate critical points of Hamiltonians. The degree arguments for \(S^1\)-equivalent gradient maps are employed for this goal. Several illustrating examples are supplied.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 58E07
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 37G10
zbMATH DE Number: 1858741
zbMATH Keywords: periodic solutions
zbMATH Keywords: global bifurcations
zbMATH Keywords: degenerate case
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: degree
author: E. N. Dancer
author: Sławomir Maciej Rybicki
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1858741