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.

报告人：中国科学技术大学  王毅

时间：11月10日 09:30

地点：纯水楼301

报告人简介：中国科学技术大学教授，杰出青年基金获得者

 

邀请人：杨大伟