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Main Title: Repulsive inter-layer coupling induces anti-phase synchronization
Author(s): Shepelev, Igor A.
Muni, Sishu S.
Schöll, Eckehard
Strelkova, Galina I.
Type: Article
Abstract: We present numerical results for the synchronization phenomena in a bilayer network of repulsively coupled 2D lattices of van der Pol oscillators. We consider the cases when the network layers have either different or the same types of intra-layer coupling topology. When the layers are uncoupled, the lattice of van der Pol oscillators with a repulsive interaction typically demonstrates a labyrinth-like pattern, while the lattice with attractively coupled van der Pol oscillators shows a regular spiral wave structure. We reveal for the first time that repulsive inter-layer coupling leads to anti-phase synchronization of spatiotemporal structures for all considered combinations of intra-layer coupling. As a synchronization measure, we use the correlation coefficient between the symmetrical pairs of network nodes, which is always close to −1 in the case of anti-phase synchronization. We also study how the form of synchronous structures depends on the intra-layer coupling strengths when the repulsive inter-layer coupling is varied.
Subject(s): heterogeneous multiplex network
wave structures
chimera states
Issue Date: 2021
Date Available: 22-Dec-2021
Language Code: en
DDC Class: 530 Physik
Sponsor/Funder: DFG, 163436311, Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
Journal Title: Chaos : an interdisciplinary journal of nonlinear science
Publisher: AIP Publishing
Volume: 31
Issue: 6
Article Number: 63116
Publisher DOI: 10.1063/5.0054770
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 Shepelev, I. A., Muni, S. S., Schöll, E., & Strelkova, G. I. (2021). Repulsive inter-layer coupling induces anti-phase synchronization. In Chaos: An Interdisciplinary Journal of Nonlinear Science (Vol. 31, Issue 6, p. 063116). AIP Publishing. and may be found at
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Theoretische Physik » FG Nichtlineare Dynamik und Kontrolle
Appears in Collections:Technische Universität Berlin » Publications

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