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arXiv · 1401.2325

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

Markus Kantner·Serhiy Yanchuk·Eckehard Schöll
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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. 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.

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Markus Kantner, Serhiy Yanchuk, Eckehard Schöll. 2014-01-10. Delay-induced patterns in a two-dimensional lattice of coupled oscillators. https://doi.org/10.1038/srep08522

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