Non-degeneracy of closed orbits for generic potentials
Dynamical Systems
2023-12-13 v1
Abstract
We prove that Ma{\~n}{\'e} generic convex Hamiltonians have only non-degenerate periodic orbits on a given energy level. This result was stated, but not proved, in the literature.
Cite
@article{arxiv.2312.07120,
title = {Non-degeneracy of closed orbits for generic potentials},
author = {Patrick Bernard},
journal= {arXiv preprint arXiv:2312.07120},
year = {2023}
}