AUTHOR=Gao Haiping , Zhu Jian , Chen Xing , Zhang Long , Li Xianyong 

TITLE=Coherence Analysis of Symmetric Star Topology Networks

JOURNAL=Frontiers in Physics

VOLUME=10

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.876994

DOI=10.3389/fphy.2022.876994

ISSN=2296-424X

ABSTRACT=<p>The dynamics of complex networks are closely related to the topological structure. As an important research branch, the problem of network consensus has attracted more attention. In this paper, the first-order coherence of three kinds of symmetric star topology networks are studied by using the theory of network science. Firstly, three kinds of symmetric star topology network models are given. Secondly, the first-order coherence of these networks are calculated by using matrix theory. The relationships among the first-order coherence of the network and branch length and the number of branches change are obtained by numerical simulation. Finally, we found that the third network has the best consensus, and the change of branch length has more effective impact on network consensus.</p>