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arXiv · 1604.06177

Non-contractible periodic orbits in Hamiltonian dynamics on tori

Ryuma Orita
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Abstract

We show that the presence of one non-degenerate, non-contractible periodic orbit of a Hamiltonian on the standard symplectic torus implies the existence of infinitely many simple non-contractible periodic orbits.

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Ryuma Orita. 2016-04-21. Non-contractible periodic orbits in Hamiltonian dynamics on tori. https://doi.org/10.1112/blms.12054

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