We provide numerical evidence of global diffusion occurring in slightly perturbed integrable Hamiltonian systems and symplectic maps. We show that even if a system is sufficiently close to beâ€¦ (More)

Using the standard map as a model problem we have investigated the method of the twist angles (Contopoulos and Voglis 1997) to distinguish islands tori and weak chaotic orbits. In the case of regularâ€¦ (More)

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 theâ€¦ (More)

We perform an analysis of the dynamics of the circular, restricted, planar threeâ€“body problem under the effect of different kinds of dissipation (linear, Stokes and Poyntingâ€“ Robertson drags). Sinceâ€¦ (More)

Many techniques have been developed for the measure of the largest Lyapunov exponent of experimental short data series. The main idea, underlying the most common algorithms, is to mimic the method ofâ€¦ (More)

The stability of some asteroids, in the framework of the restricted three body problem, has been recently proved in [2] by developing an isoenergetic KAM theorem. More precisely, having fixed a levelâ€¦ (More)

We investigate numerically a conjecture by N. N. Nekhoroshev about the influence of a geometric property, called steepness, on the long term stability of quasi-integrable systems. In a Nekhoroshev'sâ€¦ (More)

Using a three degrees of freedom quasi-integrable Hamiltonian as a model problem, we numerically compute the unstable manifolds of the hyperbolic manifolds of the phase space related to singleâ€¦ (More)

We investigate the dynamics of the spinâ€“orbit coupling under different settings. First we consider the conservative problem, and then we add a dissipative torque as provided by MacDonaldâ€™s orâ€¦ (More)