On the structure of symplectic mappings. The Fast Lyapunov Indicator:
a very sensitive tool
E. Lega, Claude Froeschlé
Observatoire de Nice, France
It is already known1 that the Fast
Lyapunov Indicator (hereafter FLI),
i.e. the computation on
a relatively short time of the largest Lyapunov indicator,
allows 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 two dimensional mappings (or Hamiltonian systems) but also for
higher dimensional ones. Using this indicator we present an example of
the Arnold's web detection for the 4 and 6 dimensional Froeschlé's
symplectic maps.