PERIODIC ORBITS OF HAMILTONIAN SYSTEMS LINEAR AND HYPERBOLIC AT INFINITY

    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

    Language

    English

    First Page

    159

    Last Page

    182

    WOS Identifier

    WOS:000346905200007

    ISSN

    0030-8730

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