Abstract
Let T be an invariant partially hyperbolic torus of an analytic Hamiltonian system. Let H be the energy level of H containing T. If the flow is minimal on the torus, its stable and unstable manifold intersect transversally in H and the eigenvalues associated to the stable (resp. unstable) manifold satisfy the non-resonance condition, then there exits no non-trivial analytic first integral independent of H.
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