Synchronization in Networks With Heterogeneous Adaptation Rules and Applications to Distance-Dependent Synaptic Plasticity

Autor: Rico Berner, Serhiy Yanchuk
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Frontiers in Applied Mathematics and Statistics, Vol 7 (2021)
Druh dokumentu: article
ISSN: 2297-4687
DOI: 10.3389/fams.2021.714978
Popis: 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.
Databáze: Directory of Open Access Journals