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

Socpus ID

84907578229 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84907578229

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