Delay-induced patterns in a two-dimensional lattice of coupled oscillators
- Kantner, Markus
- Schöll, Eckehard
- Yanchuk, Serhiy
2008 Physics and Astronomy Classification Scheme
- 05.45.-a, 02.30.Ks, 89.75.Kd
- Delay-coupled systems, Pattern formation, Bifurcations, Stability analysis
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.
- Sci. Rep., 5 (2015) pp. 8522/1--8522/9.