Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-8621
Main Title: Chimera States on a Ring of Strongly Coupled Relaxation Oscillators
Author(s): Rode, Julian
Totz, Jan Frederik
Fengler, Enrico
Engel, Harald
Type: Article
Language Code: en
Abstract: Weakly coupled oscillators can exhibit seemingly incongruous synchronization patterns comprised of coherent and incoherent spatial domains known as chimera states. However, the weak coupling approximation is invalid when the characteristic phase response curve of an oscillator does not scale linearly with the coupling strength and instead changes its shape. In chemical experiments with photo-coupled relaxation oscillators, we find that beyond weak coupling chimera patterns consist of different coexisting cluster states. Numerical modeling reveals that the observed cluster states result from a phase-dependent excitability that is also commonly observed in neural tissue and cardiac pacemaker cells.
URI: https://depositonce.tu-berlin.de/handle/11303/9576
http://dx.doi.org/10.14279/depositonce-8621
Issue Date: 19-Jun-2019
Date Available: 1-Jul-2019
DDC Class: 510 Mathematik
Subject(s): pattern formation
synchronization
chimera state
nonlocal coupling
networks
chemical oscillators
Sponsor/Funder: DFG, 414044773, Open Access Publizieren 2019 - 2020 / Technische Universität Berlin
DFG, GRK 1558, Kollektive Dynamik im Nichtgleichgewicht: in kondensierter Materie und biologischen Systemen
DFG, SFB 910, Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
License: https://creativecommons.org/licenses/by/4.0/
Journal Title: Frontiers in Applied Mathematics and Statistics
Publisher: Frontiers Media
Publisher Place: Lausanne
Volume: 5
Article Number: 31
Publisher DOI: 10.3389/fams.2019.00031
EISSN: 2297-4687
Appears in Collections:FG Nichtlineare Dynamik und Kontrolle » Publications

Files in This Item:
File Description SizeFormat 
fams-05-00031.pdf810.39 kBAdobe PDFView/Open


This item is licensed under a Creative Commons License Creative Commons