Self-organization of weighted networks for optimal synchronizability
Adaptation and Self-Organizing Systems
2015-06-01 v1 Systems and Control
Abstract
We show that a network can self-organize its structure in a completely distributed manner in order to optimize its synchronizability whilst satisfying the local constraints: non-negativity of edge weights, and maximum weighted degree of nodes. A novel multilayer approach is presented which uses a distributed strategy to estimate two spectral functions of the graph Laplacian, the algebraic connectivity and the eigenratio . These local estimates are then used to evolve the edge weights so as to maximize , or minimize and, hence, achieve an optimal structure.
Keywords
Cite
@article{arxiv.1505.07279,
title = {Self-organization of weighted networks for optimal synchronizability},
author = {Louis Kempton and Guido Herrmann and Mario di Bernardo},
journal= {arXiv preprint arXiv:1505.07279},
year = {2015}
}