On the Stability of the Set of Hyperbolic Closed Orbits of a Hamiltonian

Mario Bessa, Celia Ferreira, Jorge Rocha

A Hamiltonian level, say a pair $(H,e)$ of a Hamiltonian $H$ and an energy $e\in \mathbb{R}$, is said to be Anosov if there exists a connected component ${\mathcal{E}}_{H,e}$ of $H^…