Pau MARTIN

Departament de Matematica Aplicada i Telematica,
Universitat Politecnica de Catalunya
Modul C3, Campus Nord
Gran Capita s/n, Barcelona, 08034, Spain
martin@mat.upc.es

Arnold diffusion in perturbations of analytic Hamiltonian systems.

Abstract: 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 orbits shadowing the chains.