Generic global diffusion for analytic uncoupled a priori unstable systems

Amadeu Delshams, Ke Zhang

We show that given a general uncoupled a priori unstable Hamiltonian \[ \frac12 p^2 + V(q) + G(I) + εh(p, q, I, φ, t), \] where $h$ is a generic Mañé analytic function and $\epsilon$ is s…