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C. Froeschlè, E. Lega (Observatoire de Nice)
It is already known (Froeschlè, Lega and Gonczi 1997) that the Fast Lyapunov Indicator, i.e. the computation on a relatively short time of the largest Lyapunov indicator, allows one to discriminate between ordered and weak chaotic motion. We have found that, under certain conditions, the FLI also discriminates between resonant and non resonant orbits, not only for Hamiltonian systems with two degrees of freedom, but also for higher dimensional ones.
This method not only allows one to display the resonant Arnold web, but also to detect the transition between Nekhoroshev's stable regime to Chirikov's diffusive one.