Phase transition in crowd synchrony of delay-coupled multilayer laser networks
Chaotic Dynamics
2015-06-04 v1 Disordered Systems and Neural Networks
Abstract
An analogy between crowd synchrony and multi-layer neural network architectures is proposed. It indicates that many non-identical dynamical elements (oscillators) communicating indirectly via a few mediators (hubs) can synchronize when the number of delayed couplings to the hubs or the strength of the couplings is large enough. This phenomenon is modeled using a system of semiconductor lasers optically delay-coupled in either a fully connected or a diluted manner to a fixed number of non-identical central hub lasers. A universal phase transition to crowd synchrony with hysteresis is observed, where the time to achieve synchronization diverges near the critical coupling independent of the number of hubs.
Keywords
Cite
@article{arxiv.1204.3712,
title = {Phase transition in crowd synchrony of delay-coupled multilayer laser networks},
author = {Elad Cohen and Michael Rosenbluh and Ido Kanter},
journal= {arXiv preprint arXiv:1204.3712},
year = {2015}
}
Comments
14 pages, 5 figures