Synchronization for a collection of oscillators residing in a finite two dimensional plane is
explored. The coupling between any two oscillators in this array is unidirectional, viz., master-
slave configuration. Initially the oscillators are distributed randomly in space and their
autonomous time-periods follow a Gaussian distribution. The duty cycles of these oscillators,
which work under an on-off scenario, are normally distributed as well. It is realized that
random hopping of oscillators is a necessary condition for observing global synchronization …