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【学术报告】2020年10月26日王毅教授举办学术讲座

2020-10-23 15:08:18    浏览次数:

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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.