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SEMINARS
Monotone systems with repect to high-rank cones
时间  Datetime
2017-11-16 14:00 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
王毅
单位  Affiliation
中国科技大学
邀请人  Host
于江
报告摘要  Abstract

In this talk, we will discuss the semiflows which admit strong monotonicity properties with respect to “cones” of high ranks in a general Banach space. These semiflows are motivated by high-dimensional monotone cyclic feedback differential equations, as well as scalar parabolic equations, with integer-valued Lyapunov Functionals. We will show that for a pseudo-ordered preecompact semi-orbit the omega-limit set either is ordered, or is contained in the set of equilibria, or possesses a certain ordered homoclinic property. In particular, We establish a Poincare-Bendixson type theorem in the case of cones of rank 2.