报告人：王毅（中国科学技术大学）

邀请人：李骥

报告题目：Generic Behavior of smooth monotone systems with respect to k-cones

报告时间：2020年10月26日（星期一）19:00-20:30

报告地点：腾讯会议ID：712 163 667（会议密码：123456）

报告摘要：In this talk, we consider a smooth flow which is “strongly monotone” with respect to a k-cone,a closed set that contains a linear subspace of dimension k and no linear subspaces of higher dimension. We will show that orbits with initial data from an open and dense subset of the phase space are either pseudo-ordered or convergent to equilibria. This covers the celebrated Hirsch's Generic Convergence Theorem in the case k=1, and yields a generic Poincare-Bendixson Theorem for the case k=2.