Roles
Student author: Liam Timms
Document Type
Article
Publication Date
3-2014
Department
Physics
Language
English
Publication Title
Physical Review E
Abstract
We explore both analytically and numerically an ensemble of coupled phase oscillators governed by a Kuramoto-type system of differential equations. However, we have included the effects of time delay (due to finite signal-propagation speeds) and network plasticity (via dynamic coupling constants) inspired by the Hebbian learning rule in neuroscience. When time delay and learning effects combine, interesting synchronization phenomena are observed. We investigate the formation of spatiotemporal patterns in both one-and two-dimensional oscillator lattices with periodic boundary conditions and comment on the role of dimensionality.
DOI
10.1103/PhysRevE.89.032906
Recommended Citation
Timms, L., and L.Q. English. "Synchronization in Phase-Coupled Kuramoto Oscillator Networks with Axonal Delay and Synaptic Plasticity." Physical Review E 89, no. 3 (2014): e032906. https://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.032906
Comments
This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit The American Physical Society's Website.
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