  We consider the dynamics of the simplest chain of large number $N$ of
particles. We find, in the double scaling limit, the partition of the parameter
space onto two domains, where for one domain the supremum (over all time
interval $(0,\infty)$ of relative extension tenda to $1$ as $N\to\infty$. and
for the other this supremum tends to infinity as $N\to\infty$.
