大连理工大学数学科学学院
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Monotone systems with respect to high-rank cones

2017年07月14日 15:55  点击:[]

学术报告

 

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:2017717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。

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