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.

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.

©2014 American Physical Society

DOI

10.1103/PhysRevE.89.032906

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