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Main Title: Effect of diluted connectivities on cluster synchronization of adaptively coupled oscillator networks
Author(s): Vock, Simon
Berner, Rico
Yanchuk, Serhiy
Schöll, Eckehard
Type: Article
Abstract: Synchronization in networks of oscillatory units is an emergent phenomenon that has been observed in various systems, from power grids to ensembles of nerve cells. Many real-world networks have adaptive properties, meaning that their connectivities change with time, depending on the dynamical state of the system. Networks of adaptively coupled oscillators show various synchronization phenomena, such as hierarchical multifrequency clusters, traveling waves, or chimera states. While these self-organized patterns have been previously studied on all-to-all coupled networks, this work extends the investigations towards more complex networks, analyzing the influence of random network topologies for various degrees of dilution of the connectivities. Using numerical and analytical approaches, we investigate the robustness of multicluster states on networks of adaptively coupled Kuramoto-Sakaguchi oscillators against the random dilution of the underlying network topology. We utilize the master stability approach for adaptive networks in order to highlight the interplay between adaptivity and topology. With this, we show the robustness of multifrequency cluster states to diluted connectivities.
Subject(s): nonlinear dynamics
models of complex dynamical networks
synchronization in networks
multifrequency clusters
phase oscillators
random networks
master stability approach
Issue Date: 2021
Date Available: 21-Dec-2021
Language Code: en
DDC Class: 530 Physik
Sponsor/Funder: DFG, 411803875, Dynamik gekoppelter Systeme mit Zeitverzögerungen und deren Anwendungen
DFG, 440145547, Komplexe dynamische Netzwerke: Effekte von Heterogenität, Adaptivität und Topologie der Kopplungen
Journal Title: Scientia iranica
Publisher: Sharif University of Technology
Volume: 28
Issue: 3
Publisher DOI: 10.24200/sci.2021.57526.5284
Page Start: 1669
Page End: 1684
EISSN: 1026-3098
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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