  Dynamical stabilization of an inverted pendulum through vertical movement of
the pivot is a well-known counterintuitive phenomenon in classical mechanics.
This system is also known as Kapitza pendulum and the stability can be
explained with the aid of effective potential. We explore the effect of many
body interaction for such a system. Our numerical analysis shows that
interaction between pendula generally degrades the dynamical stability of each
pendulum. This effect is more pronounced in nearest neighbour coupling than
all-to-all coupling and stability improves with the increase of the system
size. We report development of beats and clustering in network of coupled
pendula.
