  A novel possibility of self-organized behaviour of stochastically driven
oscillators is presented. It is shown that synchronization by L\'evy stable
processes is significantly more efficient than that by oscillators with
Gaussian statistics. The impact of outlier events from the tail of the
distribution function was examined by artificially introducing a few additional
oscillators with very strong coupling strengths and it is found that remarkably
even one such rare and extreme event may govern the long term behaviour of the
coupled system. In addition to the multiplicative noise component, we have
investigated the impact of an external additive L\'evy distributed noise
component on the synchronisation properties of the oscillators.
