Synchronizability of Two-Layer Cluster Ring Networks
Open Access
- 1 January 2019
- journal article
- research article
- Published by Scientific Research Publishing, Inc. in Communications and Network
- Vol. 11 (02), 35-51
- https://doi.org/10.4236/cn.2019.112004
Abstract
Multilayer network is a frontier direction of network science research. In this paper, the cluster ring network is extended to a two-layer network model, and the inner structures of the cluster blocks are random, small world or scale-free. We study the influence of network scale, the interlayer linking weight and interlayer linking fraction on synchronizability. It is found that the synchronizability of the two-layer cluster ring network decreases with the increase of network size. There is an optimum value of the interlayer linking weight in the two-layer cluster ring network, which makes the synchronizability of the network reach the optimum. When the interlayer linking weight and the interlayer linking fraction are very small, the change of them will affect the synchronizability.Keywords
This publication has 16 references indexed in Scilit:
- Spectral properties of the Laplacian of multiplex networksPhysical Review E, 2013
- Diffusion Dynamics on Multiplex NetworksPhysical Review Letters, 2013
- Synchronization in complex networksPhysics Reports, 2008
- Network synchronization, diffusion, and the paradox of heterogeneityPhysical Review E, 2005
- Frequency synchronization in a random oscillator networkPhysical Review E, 2004
- The Structure and Function of Complex NetworksSIAM Review, 2003
- Synchronization in scale-free dynamical networks: robustness and fragilityIEEE Transactions on Circuits and Systems I: Regular Papers, 2002
- Synchronization in Small-World SystemsPhysical Review Letters, 2002
- Statistical mechanics of complex networksReviews of Modern Physics, 2002
- SYNCHRONIZATION IN SMALL-WORLD DYNAMICAL NETWORKSInternational Journal of Bifurcation and Chaos, 2002