Title

PERIODIC ORBITS OF HAMILTONIAN SYSTEMS LINEAR AND HYPERBOLIC AT INFINITY

Authors

Authors

B. Z. Gurel

Comments

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Abbreviated Journal Title

Pac. J. Math.

Keywords

periodic orbits; Hamiltonian flows; Floer homology; Conley conjecture; SYMPLECTIC-MANIFOLDS; CONLEY CONJECTURE; FLOER HOMOLOGY; FIXED-POINTS; MORSE-THEORY; DIFFEOMORPHISMS; DYNAMICS; INDEX; HOMEOMORPHISMS; PRIMES; Mathematics

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.

Journal Title

Pacific Journal of Mathematics

Volume

271

Issue/Number

1

Publication Date

1-1-2014

Document Type

Article

DOI Link

http://dx.doi.org/10.2140/pjm.2014.271.159

Language

English

First Page

159

Last Page

182

WOS Identifier

WOS:000346905200007

ISSN

0030-8730

Recommended Citation

"PERIODIC ORBITS OF HAMILTONIAN SYSTEMS LINEAR AND HYPERBOLIC AT INFINITY" (2014). Faculty Bibliography 2010s. 5402.
https://stars.library.ucf.edu/facultybib2010/5402