报告人：陈双（华中师范大学）

邀请人：李骥

报告时间：2021年11月29日（星期一）10:00-11:30

报告地点：科技楼南楼715室

报告题目：Spectral perturbation of small-amplitude periodic problem and applications

报告摘要：A challenge problem for stability analysis of a periodic wave train is that the related linearized operator has purely essential spectrum when its spectral problem is considered on the whole line. In this talk, I will show our recent work on the existence and instability of small-amplitude periodic waves emerging from fold-Hopf equilibria in a system of one reaction-diffusion equation coupled with one ordinary differential equation. Based on the perturbation theory of linear operators,  we rigorously prove the instability of the perturbed periodic waves.

报告人简介：陈双，华中师范大学副研究员，主要从事微分方程与动力系统的研究工作，包括微分方程分支理论、稳定性理论和几何奇异摄动理论等。在PhyD, JDDE, DCDS-A等杂志发表数篇SCI论文。