Synchronization in an evolving network
Physics and Society
2015-10-28 v1 Statistical Mechanics
Adaptation and Self-Organizing Systems
Abstract
In this work we study the dynamics of Kuramoto oscillators on a stochastically evolving network whose evolution is governed by the phases of the individual oscillators and degree distribution. Synchronization is achieved after a threshold connection density is reached. This cumulative effect of topology and dynamics has many real-world implications, where synchronization in a system emerges as a collective property of its components in a self-organizing manner. The synchronous state remains stable as long as the connection density remains above the threshold value, with additional links providing resilience against network fluctuations.
Cite
@article{arxiv.1505.01580,
title = {Synchronization in an evolving network},
author = {R. K. Singh and Trilochan Bagarti},
journal= {arXiv preprint arXiv:1505.01580},
year = {2015}
}
Comments
4 pages, 4 figures