Notas sobre la difusión de Arnold

Delshams, Amadeo
KAM theorem doesn't ensure stability for dynamical systems close to integrable Hamiltonian systems when the dimension of the phase space is more than four . In this case, irregular unstable orbits may occur, arbitrarily close to stable invariant tori . This is the Arnold diffusion . We study here some suf£icient conditions which guarantee the existence of this diffusion .
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