Title
Periodic Orbits Of Hamiltonian Systems Linear And Hyperbolic At Infinity
Keywords
Conley conjecture; Floer homology; Hamiltonian flows; Periodic orbits
Abstract
We consider Hamiltonian diffeomorphisms of symplectic Euclidean spaces, generated by compactly supported time-dependent perturbations of hyperbolic quadratic forms. We prove that, under some natural assumptions, such a diffeomorphism must have simple periodic orbits of arbitrarily large period when it has fixed points which are not necessary from a homological perspective.
Publication Date
1-1-2014
Publication Title
Pacific Journal of Mathematics
Volume
271
Issue
1
Number of Pages
159-182
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.2140/pjm.2014.271.159
Copyright Status
Unknown
Socpus ID
84907578229 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84907578229
STARS Citation
Gürel, Başak Z., "Periodic Orbits Of Hamiltonian Systems Linear And Hyperbolic At Infinity" (2014). Scopus Export 2010-2014. 9458.
https://stars.library.ucf.edu/scopus2010/9458