  The efficient detection of chaotic behavior in orbits of a complex dynamical
system is an active domain of research. Several indicators have been proposed
in the past, and new ones have recently been developed in view of improving the
performance of chaos detection by means of numerical simulations. The challenge
is to predict chaotic behavior based on the analysis of orbits of limited
length. In this paper, the performance analysis of past and recent indicators
of chaos, in terms of predictive power, is carried out in detail using the
dynamical system characterized by a symplectic H\'enon-like cubic polynomial
map.
