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

Markus Kantner; Eckehard Schöll; Serhiy Yanchuk

doi:10.1038/srep08522

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

Markus Kantner
, Eckehard Schöll
, Serhiy Yanchuk

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	8522
Journal	Scientific Reports
Volume	5
DOIs	https://doi.org/10.1038/srep08522
Publication status	Published - 2014
Externally published	Yes

Access to Document

10.1038/srep08522

Cite this

@article{781030a8dffb4a6db1f501d233276940,

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.",

author = "Markus Kantner and Eckehard Sch{\"o}ll and Serhiy Yanchuk",

year = "2014",

doi = "10.1038/srep08522",

language = "English",

volume = "5",

journal = "Scientific Reports",

issn = "2045-2322",

publisher = "Nature Research",

}

TY - JOUR

T1 - Delay-induced patterns in a two-dimensional lattice of coupled oscillators

AU - Kantner, Markus

AU - Schöll, Eckehard

AU - Yanchuk, Serhiy

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84923337476

U2 - 10.1038/srep08522

DO - 10.1038/srep08522

M3 - Article

AN - SCOPUS:84923337476

SN - 2045-2322

VL - 5

JO - Scientific Reports

JF - Scientific Reports

M1 - 8522

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this