讲座题目：Robustness of Periodic Measures of Stochastic Delay Lattice Systems

主办单位：长江大学信息与数学学院

报告专家：黎定仕（西南交通大学教授、博士生导师）

报告时间：2023年4月11日16：00-17：00

腾讯会议ID：437-233-424

会议链接：https://meeting.tencent.com/dm/T9VJZrfni1bG

专家简介：黎定仕，博士，教授，博士生导师。2006和2009分别毕业于中国矿业大学计算数学和应用数学专业，2012年于四川大学动力系统方向博士毕业，2012起在西南交大工作至今，其中2014.9-2015.9访问美国杨伯翰大学。主持国家自然科学基金面上项目1项，国家自然科学基金青年项目1项，在JDE、JDDE、DCDS-A等国际知名刊物发表论文多篇。

摘要：In this talk, the periodic measures of the stochastic delay reaction-diffusion lattice systems are investigated. Under a general condition, we prove the existence of periodic measures when the time-dependent terms of the system are periodic in time. Under further assumptions on the nonlinear terms, we show the set of all periodic measures of the perturbed system is weakly compact. Finally, we prove every limit point of a sequence of periodic measures of the stochastic delay system must be a periodic measure of the limiting system as the noise intensity or the time delay goes to zero.