Ryuma Orita
Bulletin of the London Mathematical Society, vol. 49 (2017), no. 4, pp. 571–580
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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.
BibTeX
@article{orita2017noncontractible,
author = {Orita, Ryuma},
title = {{Non-contractible periodic orbits in Hamiltonian dynamics on tori}},
journal = {Bulletin of the London Mathematical Society},
volume = {49},
number = {4},
pages = {571--580},
year = {2017},
doi = {10.1112/blms.12054},
eprint = {1604.06177},
archivePrefix = {arXiv}
}