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科学研究
RESEARCH
[COLLOQUIUM] Generic Behavior of smooth monotone systems with respect to k-cones
时间  Datetime
2020-06-12 15:00 — 16:30
地点  Venue
Zoom APP()
报告人  Speaker
王毅
单位  Affiliation
中国科技大学
邀请人  Host
张祥
备注  remarks
Zoom ID: 649 042 48087 会议密码: 896884
报告摘要  Abstract

In this talk, we consider a smooth flow in R^n 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.