The Synchronization Ability of A Class of Multi-layer Coupled Networks

The synchronization of multi-layer networks have important theoretical and practical significance for the study of the interaction between multi-layer networks. Based on the multi-layer star-ring networks, this paper firstly defines a class of multi-layer wheel networks through graph theory. Secondl...

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Bibliographic Details
Published inIAENG international journal of applied mathematics Vol. 53; no. 1; pp. 1 - 8
Main Authors Zhu, Jian, Xue, Tingting, Pei, Ping, Chen, Xing, Gao, Haiping, Liu, Qian
Format Journal Article
LanguageEnglish
Published Hong Kong International Association of Engineers 01.03.2023
Subjects
Applied mathematics
College professors
College students
Eigenvalues
Engineering
Entrepreneurship education
Graph theory
Innovations
Interdisciplinary subjects
Multilayers
Networks
Synchronism
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ISSN1992-9978
1992-9986

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Summary:The synchronization of multi-layer networks have important theoretical and practical significance for the study of the interaction between multi-layer networks. Based on the multi-layer star-ring networks, this paper firstly defines a class of multi-layer wheel networks through graph theory. Secondly, using the master stability function model (MSF), the factors (such as coupling strength, number of layers, and number of nodes) that affect the synchronization ability of the multi-layer wheel networks are obtained under two different conditions of bounded and unbounded synchronized regions. Thirdly, simulation experiments are used to analyze how the above factors affect the synchronization ability. Finally, The structural parameter values of the multi-layer wheel networks to achieve the optimal synchronization ability are given, which provides a basis for controlling the synchronization ability.
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ISSN:1992-9978
1992-9986