Hyperbolicity and Stability for Hamiltonian flows
  We prove that a Hamiltonian star system, defined on a 2d-dimensional symplectic manifold M, is Anosov. As a consequence we obtain the proof of the stability conjecture for Hamiltonians. This generalizes the 4-dimensional results in [6]. 
M. Bessa, M. J. Torres and J. Rocha
math.DS