Synchronization in Phase-Coupled Kuramoto Oscillator Networks with Axonal Delay and Synaptic Plasticity
Adaptation and Self-Organizing Systems
2015-06-16 v1 Neurons and Cognition
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, novel synchronization phenomena are observed. We investigate the formation of spatio-temporal patterns in both one- and two-dimensional oscillator lattices with periodic boundary conditions and comment on the role of dimensionality.
Cite
@article{arxiv.1307.8398,
title = {Synchronization in Phase-Coupled Kuramoto Oscillator Networks with Axonal Delay and Synaptic Plasticity},
author = {Liam Timms and Lars Q. English},
journal= {arXiv preprint arXiv:1307.8398},
year = {2015}
}
Comments
9 pages, 8 figures