Hamiltonian Elliptic Dynamics on Symplectic 4-manifolds
نویسنده
چکیده
We consider C Hamiltonian functions on compact 4-dimensional symplectic manifolds to study elliptic dynamics of the Hamiltonian flow, namely the so-called Newhouse dichotomy. We show that for any open set U intersecting a far from Anosov regular energy surface, there is a nearby Hamiltonian having an elliptic closed orbit through U . Moreover, this implies that for far from Anosov regular energy surfaces of a C-generic Hamiltonian the elliptic closed orbits are generic.
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