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arXiv · 1209.3529

Periodic Orbits of Hamiltonian Systems Linear and Hyperbolic at Infinity

Basak Z. Gurel
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Abstract

We consider Hamiltonian diffeomorphisms of the Euclidean space, 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.

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Basak Z. Gurel. 2012-09-17. Periodic Orbits of Hamiltonian Systems Linear and Hyperbolic at Infinity. https://doi.org/10.2140/pjm.2014.271.159

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