| Contents |
| In this talk we consider a piecewise-smooth Hamiltonian system with
two degrees of freedom submitted to a periodic perturbation. The
system consists of a generalization of a mechanical system with
impacts, which occur when trajectories collide with two manifolds
where the Hamiltonian is not differentiable. The unperturbed system
possesses two invariant manifolds with $C^0$ stable and unstable
manifolds. After showing their persistence and transversal
intersection after the perturbation, we study the scattering map, in
which is based a common geometric approach for the study of Arnol'd
diffusion in Hamiltonian systems relevant in celestial mechanics. It
allows us to find trajectories that accumulate energy from an external
forcing when following certain heteroclinic connections. |
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