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Arnold diffusion in perturbations of analytic integrable Hamiltonian systems

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  • Given an analytic integrable Hamiltonian with three or more degrees of freedom, we construct, arbitrarily close to it, an analytic perturbation with transition chains whose lengths only depend on the unperturbed Hamiltonian. Then we deduce that the perturbed system has Arnold diffusion. We provide the technical details of the tools we use.
    Mathematics Subject Classification: 37J40, 37D10, 70H08.

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