Jets of closed orbits of Ma\~n\'e generic Hamiltonian flows
  We prove a perturbation theorem for the $k$-jets, $k\geq 2$, of the Poincar\'e map of a closed orbit of the Hamiltonian flow of a Tonelli Hamiltonian $H: T^*M\to \R$, on a closed manifold $M$. As a consequence we obtain Ma\~n\'e generic properties of Hamiltonian and Lagrangian flows. 
C. M. Carballo and J. A. G. Miranda
math.DS