Time delay induced patterns in a two-dimensional lattice

Preprint
Abstract
We investigate the effects of time delayed interactions in a two-dimensional array of coupled phase oscillators. In the simulation, we find that time delay induces peculiar patterns, which have three kinds of multistabilities, while without delay only synchronized flats appear. The result suggests that the time delay should play an important role in the information processing based on the spatiotemporal structure of neuronal activities.