学术报告

题      目： Dynamics of C1-perturbed non-autonomous systems with strong cone conditions and applications

报  告  人：周盾   副教授  (邀请人：丁维维 )

                               南京理工大学

时      间：2022-12-08 15:30-16:30

腾 讯 会 议：849 953 224

报告人简介:

       周盾，南京理工大学副教授，硕士生导师。主要研究兴趣为：单调动力系统，无穷维动力系统，非自治动力系统。先后主持中国博士后基金面上，国家自然科学基金青年项目，面上项目。相关研究成果发表在J. Differential Equations，Science China Mathematics，Journal of Mathematical Biology，Proc. Amer. Math. Soc., J. Dynam. Differential Equations等国际权威数学杂志上。

摘      要：

       Perturbations exist widely in all kinds of models that built in physics, chemistry, biology, engineering, etc. In this talk, under the strong cone conditions, dynamics of non-autonomous systems and its’ $C^1$ perturbations are investigated. In particular, we will prove the $C^1$-structural stability of omega-limit sets for these systems. Then, we use these results to deal with 1-dimensional parabolic equations with Dirichlet or Neumann boundary conditions and small non-local perturbations, and competitive-cooperative tridiagonal systems.