We show how a variety of stable spatio-temporal periodic patterns can be created in 2D-lattices of coupled oscillators with non-homogeneous coupling delays. A "hybrid dispersion relation" is introduced, which allows studying the stability of time-periodic patterns analytically in the limit of large delay. The results are illustrated using the FitzHugh-Nagumo coupled neurons as well as coupled limit cycle (Stuart-Landau) oscillators.
@article{arxiv.1401.2325,
title = {Delay-induced patterns in a two-dimensional lattice of coupled oscillators},
author = {Markus Kantner and Serhiy Yanchuk and Eckehard Schöll},
journal= {arXiv preprint arXiv:1401.2325},
year = {2017}
}