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Main Title: Birth and Stabilization of Phase Clusters by Multiplexing of Adaptive Networks
Author(s): Berner, Rico
Sawicki, Jakub
Schöll, Eckehard
Type: Article
Language Code: en
Abstract: We propose a concept to generate and stabilize diverse partial synchronization patterns (phase clusters) in adaptive networks which are widespread in neuroscience and social sciences, as well as biology, engineering, and other disciplines. We show by theoretical analysis and computer simulations that multiplexing in a multilayer network with symmetry can induce various stable phase cluster states in a situation where they are not stable or do not even exist in the single layer. Further, we develop a method for the analysis of Laplacian matrices of multiplex networks which allows for insight into the spectral structure of these networks enabling a reduction to the stability problem of single layers. We employ the multiplex decomposition to provide analytic results for the stability of the multilayer patterns. As local dynamics we use the paradigmatic Kuramoto phase oscillator, which is a simple generic model and has been successfully applied in the modeling of synchronization phenomena in a wide range of natural and technological systems.
Issue Date: 24-Feb-2020
Date Available: 16-Nov-2020
DDC Class: 530 Physik
Subject(s): adaptive network
nonlinear dynamics
self-organizing systems
phase cluster
Sponsor/Funder: DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
Journal Title: Physical Review Letters
Publisher: American Physical Society (APS)
Publisher Place: College Park, Md.
Volume: 124
Issue: 8
Article Number: 088301
Publisher DOI: 10.1103/PhysRevLett.124.088301
EISSN: 1079-7114
ISSN: 0031-9007
Appears in Collections:FG Nichtlineare Dynamik und Kontrolle » Publications

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