Arnold di usion in perturbations of analyticintegrable Hamiltonian systemsErnest

  • FontichDepartament de Matem
  • Published 1998


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 diiusion. We provide the technical details of the tools we use. 


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