Stabilizing Quorum-Sensing Networks via Noise

We investigate how a single node injecting noise in a quorum-sensing network can dramatically affect its convergence toward synchronization. We show that adding some white noise of sufficiently high intensity on a single node can stabilize the collective behavior of all nodes in the network toward the origin. A sketch of the proof of the convergence result is given, together with the outcome of some numerical experiments on the challenging problem of stabilizing a network of bistable systems onto a common unstable equilibrium point.