title: Delay-induced patterns in a two-dimensional lattice of coupled oscillators.
abstract: 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. The results are illustrated using the FitzHugh-Nagumo coupled neurons as well as coupled limit cycle (Stuart-Landau) oscillators. A "hybrid dispersion relation" is introduced, which describes the stability of the patterns in spatially extended systems with large time-delay.
authors: Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany.
authors: Markus
authors: M
authors: Kantner
authors: Technical University of Berlin, Institute of Theoretical Physics, Hardenbergstr. 36, 10623 Berlin, Germany.
authors: Eckehard
authors: E
authors: Schöll
authors: Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany.
authors: Serhiy
authors: S
authors: Yanchuk