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Main Title: Control of Chimera States in Multilayer Networks
Author(s): Omelchenko, Iryna
Hülser, Tobias
Zakharova, Anna
Schöll, Eckehard
Type: Article
Language Code: en
Abstract: Chimera states are intriguing complex spatio-temporal patterns of coexisting coherent and incoherent domains. They can often be observed in networks with non-local coupling topology, where each element interacts with its neighbors within a fixed range. In small-size non-locally coupled networks, chimera states usually exhibit short lifetimes and erratic drifting of the spatial position of the incoherent domain. This problem can be solved with a tweezer feedback control which can stabilize and fix the position of chimera states. We analyse the action of the tweezer control in two-layer networks, where each layer is a small non-locally coupled ring of Van der Pol oscillators. We demonstrate that tweezer control, applied to only one layer, successfully stabilizes chimera patterns in the other, uncontrolled layer, even in the case of non-identical layers. These results might be useful for applications in multilayer networks, where one of the layers cannot be directly accessed, thus it can be effectively controlled via a neighboring layer.
Issue Date: 30-Jan-2019
Date Available: 20-Feb-2019
DDC Class: 510 Mathematik
Subject(s): dynamical systems
chimera states
multilayer networks
feedback control
Van der Pol oscillators
Sponsor/Funder: DFG, 414044773, Open Access Publizieren 2019 - 2020 / Technische Universität Berlin
DFG, SFB 910, Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
Journal Title: Frontiers in Applied Mathematics and Statistics
Publisher: Frontiers Media
Publisher Place: Lausanne
Volume: 4
Article Number: 67
Publisher DOI: 10.3389/fams.2018.00067
EISSN: 2297-4687
Appears in Collections:FG Nichtlineare Dynamik und Kontrolle » Publications

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