报告题目：Bifurcation and Its Normal Form of Reaction Diffusion Systems on Directed Networks
报告时间：2024年4月27日（周六）上午8:30—9:30
报告人：靳祯 教授
主持人：刘文军 教授
报告地点：藕舫楼724室
报告摘要：Compared with the real Laplacian eigenvalues of undirected networks, the ones of asymmetrical directed networks might be complex, which is able to trigger additional collective dynamics, including the oscillatory behaviors. However, the high dimensionality of the reaction-diffusion systems defined on directed networks makes it difficult to do in-depth dynamic analysis. In this talk, we strictly derive the Hopf normal form of the general two-species reaction-diffusion systems defined on directed networks, with revealing some noteworthy differences in the derivation process from the corresponding on undirected networks. Applying the obtained theoretical framework, we conduct a rigorous Hopf bifurcation analysis for an SI reaction-diffusion system defined on directed networks, where numerical simulations are well consistent with theoretical analysis. Undoubtedly, our work will provide an important way to study the oscillations in directed networks.
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数学与统计学院
江苏省应用数学（南京信息工程大学）中心
江苏省系统建模与数据分析国际合作联合实验室
2024年4月25日
靳祯，山西大学二级教授。现任教育部重点实验室主任，山西省数学会理事长，享受国务院政府特殊津贴。主要从事生物动力系统研究，先后主持国家自然基金项目10 项，其中国家基金重点项目2 项，国家重点研发计划子项目1项。曾获山西省科学技术奖（自然科学类）一等奖2项，教育部高等学校优秀成果二等奖奖（自然科学类）1项。