Synchronizability of Multilayer Directed Dutch Windmill Networks

This paper investigates the synchronizability of multilayer directed Dutch windmill networks with the help of the master stability function method. Here, we propose three types of multilayer directed networks with different linking patterns, namely, inter-layer directed networks (Networks-A), intra-...

Full description

Saved in:
Bibliographic Details
Published in:Fractal and fractional 2022-10, Vol.6 (10), p.537
Main Authors: Wu, Yongqing, Zhang, Xiao
Format: Article
Language:English
Subjects:
Dutch windmill networks
Eigenvalues
Mathematical analysis
multilayer directed networks
Multilayers
Networks
supra-Laplacian matrix
synchronizability
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper investigates the synchronizability of multilayer directed Dutch windmill networks with the help of the master stability function method. Here, we propose three types of multilayer directed networks with different linking patterns, namely, inter-layer directed networks (Networks-A), intra-layer directed networks (Networks-B), and hybrid directed networks (Networks-C), and rigorously derive the analytical expressions of the eigenvalue spectrum on the basis of their supra-Laplacian matrix. It is found that network structure parameters (such as the number of layers and nodes, the intra-layer and the inter-layer coupling strengths) have a significant impact on the synchronizability in the case of the two typical synchronized regions. Finally, in order to confirm that the theoretical conclusions are correct, simulation experiments of multilayer directed network are delivered.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract6100537