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发表时间:2020-09-11 阅读次数:316次
报告题目: Generic Behavior of smooth monotone systems with respect to k-cones
报 告 人:Prof. Yi Wang
报告人所在单位:中国科学技术大学/University of Science and Technology of China
报告日期:2020-09-11 星期五
报告时间:10:30-11:30
报告地点:腾讯会议ID: 773 503 085
  
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.

 

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本年度学院报告总序号:154

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