Delay-induced patterns in a two-dimensional lattice of coupled oscillators
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2068 | |
| dc.contributor.author | Kantner, Markus | |
| dc.contributor.author | Schöll, Eckehard | |
| dc.contributor.author | Yanchuk, Serhiy | |
| dc.date.accessioned | 2016-03-24T17:36:52Z | |
| dc.date.available | 2019-06-28T08:11:21Z | |
| dc.date.issued | 2015 | |
| dc.description.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. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2217 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2802 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Delay-coupled systems | eng |
| dc.subject.other | Pattern formation | eng |
| dc.subject.other | Bifurcations | eng |
| dc.subject.other | Stability analysis | eng |
| dc.title | Delay-induced patterns in a two-dimensional lattice of coupled oscillators | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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