FROESCHLE , Claude

We investigate numerically the stable and unstable manifolds of the hyperbolic manifolds of the phase space related to the resonances of quasi-integrable systems in the regime of validity of the Nekhoroshev and KAM theorems. Using a model of weakly interacting resonances we explain the qualitative features of these manifolds characterized by...

In this paper we study the Arnold diffusion along a normally hyperbolic invariant manifold in a model of a priori unstable system. Using numerical methods we detect global and local properties of the stable and unstable manifolds of the invariant manifold, and we compare them with the diffusion properties. Specifically, we introduce a new...