Perturbations of geodesic flows by recurrent dynamics
Perturbations of geodesic flows by recurrent dynamics
We present a mechanism for Arnold diffusion based on intertwining homoclinic orbits to a normally hyperbolic invariant manifold, followed for long time intervals, with orbits of the dynamics restricted to that manifold, followed for short time intervals. The resulting trajectories are rather fast, and their construction is explicit, so they …