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Main Title: Solitary states in adaptive nonlocal oscillator networks
Author(s): Berner, Rico
Polanska, Alicja
Schöll, Eckehard
Yanchuk, Serhiy
Type: Article
Abstract: In this article, we analyze a nonlocal ring network of adaptively coupled phase oscillators. We observe a variety of frequency-synchronized states such as phase-locked, multicluster and solitary states. For an important subclass of the phase-locked solutions, the rotating waves, we provide a rigorous stability analysis. This analysis shows a strong dependence of their stability on the coupling structure and the wavenumber which is a remarkable difference to an all-to-all coupled network. Despite the fact that solitary states have been observed in a plethora of dynamical systems, the mechanisms behind their emergence were largely unaddressed in the literature. Here, we show how solitary states emerge due to the adaptive feature of the network and classify several bifurcation scenarios in which these states are created and stabilized.
Subject(s): phase oscillator
adaptive network
network structure
oscillator networks
Issue Date: 28-Sep-2020
Date Available: 4-Mar-2021
Language Code: en
DDC Class: 530 Physik
Sponsor/Funder: DFG, 411803875, Dynamik gekoppelter Systeme mit Zeitverzögerungen und deren Anwendungen
DFG, 308748074, DFG-RSF: Komplexe dynamische Netzwerke: Effekte von heterogenen, adaptiven und zeitverzögerten Kopplungen
TU Berlin, Open-Access-Mittel – 2020
Journal Title: The European Physical Journal - Special Topics
Publisher: SpringerNature
Volume: 229
Issue: 12-13
Publisher DOI: 10.1140/epjst/e2020-900253-0
Page Start: 2183
Page End: 2203
EISSN: 1951-6401
ISSN: 1951-6355
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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