学术报告

报告题目：Monotone systems with respect to high-rank cones

报告人：王毅 教授 （中国科学技术大学）

报告时间：2017年7月17日（星期一）上午10:10-10:50

报告地点：创新园大厦 A1045

校内联系人：柳振鑫 教授      联系电话：84708351-8039

报告摘要: In this talk, we will consider the semiflows which admit strong monotonicity properties with respect to “cones” of high ranks in a general Banach space. These semiflows are

motivated by monotone cyclic feedback systems or differential equations with integer-valued Lyapunov Functionals. We will show that for a pseudo-ordered precompact semi-orbit the omega-limit set either is ordered, or is contained in the set of equilibria, or possesses a certain ordered homoclinic property. We also establish a Poincare-Bendixson type theorem in the case where k=2. This is a joint work with Lirui Feng and Jianhong Wu.

报告人简介：王毅，中国科学技术大学数学科学学院教授，博士生导师。主要从事单调动力系统与微分方程领域的研究，在包括J. Eur. Math. Soc.、Adv. Math.、Proc. London Math. Soc.、SIAM J. Math. Anal.、Trans. Amer. Math. Soc.、J. Diff. Eqns.、J. Math. Biol.等高水平杂志上发表论文30余篇。全国百篇优秀博士学位论文获得者，入选教育部新世纪优秀人才支持计划。