Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling

被引：5

作者：

Yang, Feimei ^{[1
]}

Jia, Zhen ^{[1
]}

Deng, Yang ^{[2
]}

机构：

[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China

[2] Harbin Inst Technol, Coll Sci, Shenzhen 18213, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2021年 / 2021卷

基金：

中国国家自然科学基金;

关键词：

COMPLEX DYNAMICAL NETWORKS; CHAOTIC SYSTEMS; STABILITY;

D O I：

10.1155/2021/6623648

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we studied the eigenvalue spectrum and synchronizability of two types of double-layer hybrid directionally coupled star-ring networks, namely, the double-layer star-ring networks with the leaf node pointing to the hub node (Network I) and the double-layer star-ring networks with the hub node pointing to the leaf node (Network II). We strictly derived the eigenvalue spectrum of the supra-Laplacian matrix of these two types of networks and analyzed the relationship between the synchronizability and the structural parameters of networks based on the master stability function theory. Furthermore, the correctness of the theoretical results was verified through numerical simulations, and the optimum structural parameters were obtained to achieve the optimal synchronizability.

引用

页数：20