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arXiv · 1106.3500

Jets of closed orbits of Ma\~n\'e generic Hamiltonian flows

C. M. Carballo·J. A. G. Miranda
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Abstract

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.

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C. M. Carballo, J. A. G. Miranda. 2011-06-17. Jets of closed orbits of Ma\~n\'e generic Hamiltonian flows. https://doi.org/10.1007/s00574-013-0010-1

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