Delay-induced patterns in a two-dimensional lattice of coupled oscillators

Sci Rep. 2015 Feb 17:5:8522. doi: 10.1038/srep08522.

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.

Publication types

  • Research Support, Non-U.S. Gov't