Synchronization is a ubiquitous phenomenon where interacting individual units start to behave coherently together. It happens for example in electric power grids where the phase of the complex voltage at each bus reaches a synchronous state due to power flows or in large groups of fireflies, when all individual start flashing in unison. The robustness of synchrony depends on the coupling and the internal parameters of the system’s components, as well as on potential perturbations or ambient noise. In this talk, I will first briefly discuss the main results about the stability and existence of synchronous states. Then I will present recent results on desynchronization induced by both uncorrelated and time and space correlated noise inputs.

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