title: Optimization of noise-induced synchronization of oscillator networks.
abstract: We investigate common-noise-induced synchronization between two identical networks of coupled phase oscillators exhibiting fully locked collective oscillations. Using the collective phase description method for fully locked oscillators, we demonstrate that two noninteracting networks of coupled phase oscillators can exhibit in-phase synchronization between the networks when driven by weak common noise. We derive the Lyapunov exponent characterizing the relaxation time for synchronization and develop a method of obtaining the optimal input pattern of common noise to achieve fast synchronization. We illustrate the theory using three representative networks with heterogeneous, global, and local coupling. The theoretical results are validated by direct numerical simulations.
authors.affiliation: Department of Mathematical Science and Advanced Technology, Japan Agency for Marine-Earth Science and Technology, Yokohama 236-0001, Japan and Research and Development Center for Marine Biosciences, Japan Agency for Marine-Earth Science and Technology, Yokosuka 237-0061, Japan.
authors.forename: Yoji
authors.initials: Y
authors.lastname: Kawamura
authors.affiliation: Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan.
authors.forename: Hiroya
authors.initials: H
authors.lastname: Nakao