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                                                          【皇冠体育】4月11日 国家杰青、中国科技大学博士生导师王毅教授皇冠体育

                                                             发布时间: 2019-04-04    访问次数: 129


                                                          报告题目:Generic behavior of smooth monotone systems with respect to high-rank cones



                                                          报告摘要:A cone of rank-k is a closed set that contains a linear subspace of dimension k and no linear subspaces of higher dimension. In this talk, we focus on smooth monotone systems with respect to k-cones. For k=1, such systems are classical monotone systems, for which the fundamental result is the so-called "Hirsch's generic convergence theorem". We will report in this talk generic behavior of the systems for k(>1)-cones.In particular, a generic Poincare-Bendixson theorem will be presented for high-dimensional autonomous systems, which contains as special case many of the known extensions of the Poincare-Bendixson theorem to dimensions higher than two in the literature. This is a joint work with Lirui Feng and Jianhong Wu.


                                                          王毅,中国科技大学数学科学皇冠体育教授、博士生导师。2002年获得中国科技大学理学博士学位 。曾应邀对美国佐治亚理工皇冠体育、芬兰赫尔辛基大学、美国明尼苏达大学IMA研究所长期学术访问 。主要研究领域为微分方程与动力系统,先后在包括JEMSAdv. MathProc. London Math. Soc.SIAM J. Math. Anal.JDETans. Amer. Math. Soc.等国际杂志发表论文30余篇。2004年入选全国百篇优秀博士论文 ,2007年入选教育部新世纪优秀人才支持计划 ,2018年获基金委国家杰出青年科学基金资助 。

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