学术报告

【online】 Generic Behavior of smooth monotone systems with respect to \(k\)-cones

发布人:发布时间: 2020-11-21

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题目: Generic Behavior of smooth monotone systems with respect to \(k\)-cones


报告人: 王毅(中国科学技术大学)


时间: 2020年11月24日 14:00 - 15:00 


会议方式:Zoom APP   ID:640 5432 5516   密码:960028


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 Poincaré-Bendixson Theorem for the case \(k=2\).


邀请人:程伟 老师