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\title{On the disappearance of invariant tori in Hamiltonian
systems.}
\author{C.Froeschl\'e$^{1}$
 and E.Lega $^{1,2}$ \\
$^{1}$ B.P.229, 06304 Nice cedex 4\\ $^{2}$ LATAPSES, 250 Rue A.Einstein, 
06560 Valbonne} 

\begin{document}
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\maketitle
\begin{abstract}
We study numerically the dynamics in the neighborhood of an
invariant torus of a nearly integrable system.
The recent results found analitically 
 by A.Morbidelli and A.Giorgilli about the superexponential stability
of KAM tori are not only confirmed but quantified.
\end{abstract}
\end{document}
