On the synchronization of spatially coupled oscillators (original) (raw)

— Over the past decade, considerable attention has been devoted to the problem of emergence of synchronization patterns in a network of coupled oscillators, which can be observed in a variety of disciplines, from the biological to the engineering fields. In this context, the Kuramoto model is a classical model for describing synchronization phenomena that arise in large-scale systems that exploit local information and interactions. In this work, an extension of such a model is presented, that considers the spatial distances among the oscil-lator nodes. In detail, coupling strength and spatial conditions are derived, needed to reach phase cohesiveness and frequency synchronization, both in the scenario when a single population of agents is present and when two different populations interact. These theoretical findings are confirmed by extensive numerical Monte Carlo simulations and statistical analysis.