网络科学系列学术报告
报告题目：Synchronizability of multiplex networks
报告人：吴晓群 教授，博士生导师
报告时间：2020/10/22 14:30-15:30
报告形式：腾讯会议（ID：104 142 221）
报告摘要：Synchronization phenomena are of broad interest across disciplines and increasingly of interest in a multiplex network setting. Starting from two-layer star networks, we discuss theoretically and numerically the impact of various interlayer connection patterns on the synchronizability of duplex networks. Then we present the optimal interlayer connection pattern for maximizing synchronizability of general two-layer networks. Finally, for the multiplex network of coupled Rössler oscillators, we show how the master stability function, a celebrated framework for analyzing synchronization on a single network, can be extended to certain classes of multiplex networks with different intralayer and interlayer coupling functions. We derive three master stability equations that determine, respectively, the necessary regions of complete synchronization, intralayer synchronization, and interlayer synchronization. We calculate these three regions explicitly for the case of a two-layer network of Rössler oscillators and show that the overlap of the regions determines the type of synchronization achieved. Furthermore, for any network structure, the occurrence of intralayer and interlayer synchronization depends mainly on the coupling functions of nodes within a layer and across layers, respectively. Our mathematical analysis requires that the intralayer and interlayer supra-Laplacians commute. But, we show this is only a sufficient, and not necessary, condition and that the results can be applied more generally.
专家介绍：吴晓群，武汉大学数学与统计学院教授，博士生导师，应用数学系主任。一直从事非线性系统及复杂网络理论与应用方面的研究。先后多次在香港理工大学、香港城市大学、香港浸会大学、澳大利亚西悉尼大学及美国加州大学戴维斯分校从事相关方面的研究。获得过第十四届“中国青年女科学家奖”（2017）、湖北省自然科学一等奖（2013）和二等奖（2006）、教育部自然科学一等奖（2007）。主持国家自然科学基金项目5项。发表SCI期刊论文70余篇，Google学术引用3200余次。现为IEEE Transactions on Circuits and Systems II的编辑。