Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-12256
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Main Title: Synchronization in Networks With Heterogeneous Adaptation Rules and Applications to Distance-Dependent Synaptic Plasticity
Author(s): Berner, Rico
Yanchuk, Serhiy
Type: Article
URI: https://depositonce.tu-berlin.de/handle/11303/13470
http://dx.doi.org/10.14279/depositonce-12256
License: https://creativecommons.org/licenses/by/4.0/
Abstract: This work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a network of adaptively coupled phase oscillators with distance-dependent adaptations. For this system, we extend the master stability function approach to adaptive networks with heterogeneous adaptation. Our method allows for separating the contributions of network structure, local node dynamics, and heterogeneous adaptation in determining synchronization. Utilizing our proposed methodology, we explain mechanisms leading to synchronization or desynchronization by enhanced long-range connections in nonlocally coupled ring networks and networks with Gaussian distance-dependent coupling weights equipped with a biologically motivated plasticity rule.
Subject(s): synaptic plasticity
adaptive networks
phase oscillator
synchronization
distance-dependent synaptic plasticity
nonlocally coupled rings
master stability approach
Issue Date: 15-Jul-2021
Date Available: 2-Aug-2021
Language Code: en
DDC Class: 510 Mathematik
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
DFG, 414044773, Open Access Publizieren 2021 - 2022 / Technische Universität Berlin
Journal Title: Frontiers in Applied Mathematics and Statistics
Publisher: Frontiers
Volume: 7
Article Number: 714978
Publisher DOI: 10.3389/fams.2021.714978
EISSN: 2297-4687
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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