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Main Title: Chimeras in Multiplex Networks: Interplay of Inter- and Intra-Layer Delays
Author(s): Sawicki, Jakub
Ghosh, Saptarshi
Jalan, Sarika
Zakharova, Anna
Type: Article
Language Code: en
Abstract: Time delay in complex networks with multiple interacting layers gives rise to special dynamics. We study the scenarios of time delay induced patterns in a three-layer network of FitzHugh-Nagumo oscillators. The topology of each layer is given by a nonlocally coupled ring. For appropriate values of the time delay in the couplings between the nodes, we find chimera states, i.e., hybrid spatio-temporal patterns characterized by coexisting domains with incoherent and coherent dynamics. In particular, we focus on the interplay of time delay in the intra-layer and inter-layer coupling term. In the parameter plane of the two delay times we find regions where chimera states are observed alternating with coherent dynamics. Moreover, in the presence of time delay we detect full and relay inter-layer synchronization.
Issue Date: 24-Apr-2019
Date Available: 29-Apr-2019
DDC Class: 510 Mathematik
Subject(s): chimera states
multiplex networks
FitzHugh-Nagumo oscillator
time delay
relay synchronization
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: 5
Article Number: 19
Publisher DOI: 10.3389/fams.2019.00019
EISSN: 2297-4687
Appears in Collections:FG Nichtlineare Dynamik und Kontrolle » Publications

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