Eigenvalue spectrum and synchronizability of multiplex chain networks

Yang Deng, Zhen Jia, Guangming Deng and Qiongfen Zhang

Physica A: Statistical Mechanics and its Applications, 2020, vol. 537, issue C

Abstract: Synchronization phenomena are of broad interest across disciplines and increasingly of interest in a multiplex network setting. In this paper, the problem of synchronization of two multiplex chain networks is investigated, according to the master stability function method. We define two kinds of multiplex chain networks according to different coupling modes: one is a class of the multiplex chain networks with one-to-one undirected coupling between layers(Networks-A), and the other is a class of the multiplex chain networks with one-to-one unidirectional coupling between layers(Networks-B). The eigenvalue spectrum of the supra-Laplacian matrices of two kinds of the networks is strictly derived theoretically, and the relationships between the structural parameters and synchronizability of the networks are further revealed. The structural parameter values of the networks to achieve the optimal synchronizability are obtained. Numerical examples are also provided to verify the effectiveness of theoretical analysis.

Keywords: Multiplex chain networks; Synchronizability; Eigenvalue spectrum (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119315043

DOI: 10.1016/j.physa.2019.122631

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