Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-9779
For citation please use:
Main Title: Controlling chimera states via minimal coupling modification
Author(s): Ruzzene, Giulia
Omelchenko, Iryna
Schöll, Eckehard
Zakharova, Anna
Andrzejak, Ralph G.
Type: Article
Language Code: en
Abstract: We propose a method to control chimera states in a ring-shaped network of nonlocally coupled phase oscillators. This method acts exclusively on the network’s connectivity. Using the idea of a pacemaker oscillator, we investigate which is the minimal action needed to control chimeras. We implement the pacemaker choosing one oscillator and making its links unidirectional. Our results show that a pacemaker induces chimeras for parameters and initial conditions for which they do not form spontaneously. Furthermore, the pacemaker attracts the incoherent part of the chimera state, thus controlling its position. Beyond that, we find that these control effects can be achieved with modifications of the network’s connectivity that are less invasive than a pacemaker, namely, the minimal action of just modifying the strength of one connection allows one to control chimeras.
URI: https://depositonce.tu-berlin.de/handle/11303/10886
http://dx.doi.org/10.14279/depositonce-9779
Issue Date: 7-May-2019
Date Available: 6-Mar-2020
DDC Class: 530 Physik
Subject(s): chimera states
pacemaker
coupled phase oscillator
Sponsor/Funder: DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
EC/H2020/642563/EU/Complex Oscillatory Systems: Modeling and Analysis/COSMOS
License: http://rightsstatements.org/vocab/InC/1.0/
Journal Title: Chaos: An Interdisciplinary Journal of Nonlinear Science
Publisher: American Institute of Physics (AIP)
Publisher Place: Melville, NY
Volume: 29
Issue: 5
Article Number: 051103
Publisher DOI: 10.1063/1.5097570
EISSN: 1089-7682
ISSN: 1054-1500
Notes: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 29, 051103 (2019) and may be found at https://doi.org/10.1063/1.5097570.
Appears in Collections:FG Nichtlineare Dynamik und Kontrolle » Publications

Files in This Item:
Ruzzene_etal_2019.pdf
Format: Adobe PDF | Size: 2.6 MB
DownloadShow Preview
Thumbnail

Item Export Bar

Items in DepositOnce are protected by copyright, with all rights reserved, unless otherwise indicated.