  A universal approach is proposed for suppression of collective synchrony in a
large population of interacting rhythmic units. We demonstrate that provided
that the internal coupling is weak, stabilization of overall oscillations with
vanishing stimulation leads to desynchronization in a large ensemble of coupled
oscillators, without altering significantly the essential nature of each
constituent oscillator. We expect our findings to be a starting point for the
issue of destroying undesired synchronization, e. g. desynchronization
techniques for deep brain stimulation for neurological diseases characterized
by pathological neural synchronization.
