Enhancement of phase synchronization by an infinite variance noise in a small-world network
Department of Physics, Isfahan University of Technology, 84156-83111, Isfahan, Iran
Accepted: 28 November 2020
Published online: 2 January 2021
In this work, we study the synchronization of a group of identical phase oscillators (rotors) in the small-world (SW) networks, driven by an external random force. The dynamics of the rotors are governed by the Kuramoto model, and the distribution of the noise is given by a Cauchy–Lorentz probability density function with zero mean and the width . We find that the partially phase-synchronized states of identical oscillators (with in the SW network become more synchronized when increases to an optimum value, where the phase synchrony in the system reaches a maximum and then start to fall. We discuss that the reason for this “stochastic synchronization” is the weakening and destruction of topological defects presented in the partially phase-synchronized attractors of the Kuramoto model in SW network of identical oscillators.
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