# Jets of closed orbits of Mañé generic Hamiltonian flows

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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.

Autor: C. M. Carballo; J. A. G. Miranda

Fuente: https://archive.org/