Synchronization in a stochastic Hebbian network of phase oscillators
Statistical Mechanics
2014-04-15 v2 Adaptation and Self-Organizing Systems
Abstract
We investigate a generalized Kuramoto phase-oscillator model with Hebb-like couplings that evolve according to a stochastic differential equation on various topologies. Numerical simulations show that even with identical oscillators, there is a regime in the nearest-neighbor coupling topologies and a complex network topology where oscillators move between an in phase and anti-phase state. Phase diagrams show the transition probabilities as a function of the noise strength and rate of evolution of network coupling. A minimal theoretical model allows us to understand these transitions.
Cite
@article{arxiv.1404.2328,
title = {Synchronization in a stochastic Hebbian network of phase oscillators},
author = {A. Isakov and L. Mahadevan},
journal= {arXiv preprint arXiv:1404.2328},
year = {2014}
}
Comments
Version 2: Reference formatting updated, minor formatting corrections. 6 pages, 4 figures