WIAS Preprint No. 2068, (2015)

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


Authors

  • Kantner, Markus
    ORCID: 0000-0003-4576-3135
  • Schöll, Eckehard
  • Yanchuk, Serhiy

2008 Physics and Astronomy Classification Scheme

  • 05.45.-a, 02.30.Ks, 89.75.Kd

Keywords

  • Delay-coupled systems, Pattern formation, Bifurcations, Stability analysis

DOI

10.20347/WIAS.PREPRINT.2068

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.

Appeared in

  • Sci. Rep., 5 (2015) pp. 8522/1--8522/9.

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